Finding the Fourth Proportional to 2,531, 3,796.50 and 707
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Solution
The fourth proportional to 2,531, 3,796.50 and 707 is: 1,060.50
Step by Step Solution
- Step 1: Write the proportion equation
2,531 : 3,796.50 = 707 : x - Step 2: Convert to fraction form
2,531/3,796.50 = 707/x - Step 3: Cross multiply
2,531x = 3,796.50 × 707 - Step 4: Simplify right side
2,531x = 2,684,125.50 - Step 5: Solve for x
x = 2,684,125.50/2,531 - Step 6: Final answer
x = 1,060.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.