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Cross Multiplication Calculator

Solve a proportion like a/b = c/x. Pick which term is unknown and the calculator cross multiplies to find it.

Cross Multiplication

Fill in three terms and solve for the fourth.

Result
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Enter numbers to see the result.

Cross product
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Check
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Formula: For a/b = c/d, cross multiplying gives a x d = b x c. Divide to isolate the unknown term.
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How cross multiplication works

In the proportion a/b = c/d, multiplying both sides by the denominators gives a x d = b x c. That single equation lets you solve for any one unknown term by dividing the cross product by the known value on the same side.

Where proportions appear

Proportions show up in unit conversion, scale drawings, recipe scaling, currency math, and similar triangles. If two ratios are equal and you know three of the four numbers, cross multiplication finds the fourth.

Cross Multiplication FAQs

How do I solve 3/4 = 6/x?
Cross multiply: 3x = 24, so x = 8. Select d (bottom right) as the unknown, enter 3, 4 and 6, and the tool shows each step.
Can I solve for any of the four terms?
Yes. Use the Solve for dropdown to pick a, b, c or d. The field for the unknown is disabled so you cannot type into it by mistake.
What is the cross product check?
After solving, the tool multiplies a x d and b x c and shows both. In a correct solution the two products are equal, which verifies the answer.
Why does it say no solution?
That happens when the divisor needed to isolate the unknown is zero, for example solving for b when c is zero. Division by zero has no answer.
Is my input stored anywhere?
No. The calculator runs fully in your browser and sends nothing to any server.
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