Ratio and Proportion Calculator
A proportion is solved by cross-multiplying: 3 : 4 = 15 : x gives 20.
20
Step-by-step solution
- a : b = c : x means a/b = c/x, so x = b·c ÷ a
- x = 4 × 15 ÷ 3 = 20
Ratio and Proportion Formula
a : b = c : x ⇒ x = b·c ÷ a
cross-multiplication
Worked Example
The proportion 3 : 4 = 15 : x:
- a : b = c : x means a/b = c/x, so x = b·c ÷ a
- x = 4 × 15 ÷ 3 = 20
Test-day tip
SAT ratio questions often hide unit conversions. Write units in the proportion (miles/hour = miles/hour) so they cancel correctly before cross-multiplying.
More Problem-Solving and Data Analysis Calculators
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Weighted Average Calculator
x̄w = Σ(xᵢ·wᵢ) ÷ Σwᵢ
weights can be percentages, credits or counts
Example: Scores of 90, 82 and 75 weighted 50%, 30% and 20%: Weighted average = 84.6.
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Mean, Median and Mode Calculator
mean = Σx ÷ n
median: middle value of the sorted data; mode: most frequent value; range = max − min
Example: The data 4, 8, 6, 5, 3, 8, 9, 5, 8: Mean = 6.222222222.
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Probability Calculator
P(A or B) = P(A) + P(B) − P(A and B)
independent: P(A and B) = P(A)P(B); P(A|B) = P(A and B)/P(B)
Example: Independent events with P(A) = 0.5 and P(B) = 0.4: P(A or B) = 0.7.
Frequently asked questions
How do I split an amount in a given ratio?
Add the parts and divide: 120 in the ratio 3 : 5 is 120 × 3/8 = 45 and 120 × 5/8 = 75.
What is the difference between a ratio and a rate?
A ratio compares like quantities (boys to girls); a rate compares different units (miles per hour). Both can be solved with proportions.
Sources
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Ratio and Proportion Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/ratio-calculator/
IEEE
Scientific Converters, "Ratio and Proportion Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/ratio-calculator/