Solve the proportion: 3/x = 9/4 for x.

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Solve the proportion: 3/x = 9/4 for x.

Explanation:
Proportions like 3/x = 9/4 are solved by cross-multiplication: multiply the numerator of each side by the opposite denominator. So 3/x = 9/4 becomes 3 times 4 equals x times 9. That is 12 = 9x, and solving for x gives x = 12/9 = 4/3. You can verify by substitution: 3/(4/3) simplifies to 3 × 3/4 = 9/4, which matches the other side. So the solution is x = 4/3.

Proportions like 3/x = 9/4 are solved by cross-multiplication: multiply the numerator of each side by the opposite denominator. So 3/x = 9/4 becomes 3 times 4 equals x times 9. That is 12 = 9x, and solving for x gives x = 12/9 = 4/3. You can verify by substitution: 3/(4/3) simplifies to 3 × 3/4 = 9/4, which matches the other side. So the solution is x = 4/3.

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