<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0609</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2026-06-05</periodOfReport>

    <issuer>
        <issuerCik>0002029118</issuerCik>
        <issuerName>INFINITY NATURAL RESOURCES, INC.</issuerName>
        <issuerTradingSymbol>INR</issuerTradingSymbol>
        <issuerForeignTradingSymbol></issuerForeignTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001377293</rptOwnerCik>
            <rptOwnerName>Quinn William J</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerNonUSAddressFlag>false</rptOwnerNonUSAddressFlag>
            <rptOwnerStreet1>C/O PEARL ENERGY INVESTMENTS</rptOwnerStreet1>
            <rptOwnerStreet2>2100 MCKINNEY AVE., SUITE 1675</rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>false</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <isOther>false</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>false</aff10b5One>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2026-06-05</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>false</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>44000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.1865</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>54503</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>28894732</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The price reported in Column 4 is a weighted average price. These shares of Class A common stock were purchased by the Reporting Person in multiple transactions at prices ranging from $13.15 to $13.20, inclusive. The Reporting Person undertakes to provide to the Issuer, any security holder of the Issuer or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares purchased at each separate price within the ranges set forth in this footnote (1) to this Form 4.</footnote>
        <footnote id="F2">The reported securities are directly held by PEI INR Holdings, L.P. (&quot;PEI INR Holdings&quot;), Pearl Energy Investments, L.P. (&quot;Pearl Investments&quot;), Pearl Energy Investments III, L.P. (&quot;Pearl III&quot;), PEI Infinity-S, L.P. (&quot;Pearl Infinity-S&quot;), and PEI INR Co-Invest-B Corp. (&quot;PEI INR Co-Invest&quot; and, collectively, the &quot;Pearl Funds&quot;). Pearl Energy Investment III GP, L.P. (&quot;Pearl III GP&quot;) is the general partner of PEI INR Holdings, Pearl III, Pearl Infinity-S and PEI INR A (as defined below). Pearl Energy Investment III UGP, LLC (&quot;Pearl III UGP&quot;) is the general partner of Pearl III GP. Pearl Energy Investment GP, L.P. (&quot;Pearl GP&quot;) is the general partner of Pearl Investments. Pearl Energy Investment UGP, LLC (&quot;Pearl UGP&quot;) is the general partner of Pearl GP. PEI INR Holdings-A, L.P. (&quot;PEI INR A&quot;) is the sole shareholder of PEI INR Co-Invest. The Pearl Funds are controlled by William J. Quinn, the founder and managing partner of Pearl Energy Investments.</footnote>
        <footnote id="F3">(Continued from footnote 2) The Reporting Persons disclaim beneficial ownership except to the extent of their pecuniary interest therein, and the filing of this Form 4 shall not be construed as an admission that such Reporting Person is the beneficial owner of any or all of the reported securities for the purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <ownerSignature>
        <signatureName>/s/ William J. Quinn</signatureName>
        <signatureDate>2026-06-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
