proportion calculator

Solve for x in Any Proportion Instantly

Enter three known values, let x mark the unknown. Our Proportion Calculator cross-multiplies and solves in one click — no algebra required.

Note: One of the input values should be an alphabet, e.g., x

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Result
Please enter three numbers and one variable (e.g., x) to see the full solution.

Frequently Asked Questions

Stuck on a ratio problem? Type in your numbers, place x where the missing value belongs, and get the exact answer with full cross-multiplication steps shown.

Q1: What is a proportion calculator?

A proportion calculator solves equations of the form a/b = c/d when one value is unknown. Enter the three known numbers, mark the missing one as x, hit Calculate, and the tool returns the answer with a full step-by-step solution.

Q2: How does cross-multiplication work in a proportion?

Cross-multiplication turns a/b = c/x into a × x = b × c. From there, isolate x by dividing both sides by a. The calculator performs every step automatically and displays the working so you can follow the logic.

Q3: What types of problems can I solve with this proportion calculator?

Any real-world ratio problem: scaling a recipe, converting units, reading a map, calculating dosage, resizing an image, or working through school algebra. If three values are known and one is missing, this tool handles it.

Q4: Can I place x in any position — numerator or denominator?

Yes. Put x in whichever position matches your problem — top-left, top-right, bottom-left, or bottom-right. The calculator detects the unknown position and rearranges the cross-multiplication formula accordingly.

Q5: Does the proportion calculator show its work?

Every calculation includes the original equation, the cross-product step, the isolation step, and the final answer. You can copy the full solution with one click using the Copy button on the results panel.

Q6: Is the result always a decimal, or can I get a fraction?

The calculator returns the most precise decimal result. For 4/5 = 6/x, it correctly outputs x = 7.5. If you need the answer as a fraction, divide the numerator result by the denominator shown in the working steps.

Q7: Is this proportion calculator free to use?

Completely free, no sign-up needed. Open the tool, enter your values, and calculate. There are no usage limits and no subscription required.

Q8: How is a proportion different from a ratio?

A ratio compares two quantities (3:4). A proportion states that two ratios are equal (3/4 = 6/8). This calculator works specifically with proportions — it finds the missing term that makes both ratios equal.