Finding the Fourth Proportional to 52.52, 78.84 and 47.96
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Solution
The fourth proportional to 52.52, 78.84 and 47.96 is: 71.99
Step by Step Solution
- Step 1: Write the proportion equation
52.52 : 78.84 = 47.96 : x - Step 2: Convert to fraction form
52.52/78.84 = 47.96/x - Step 3: Cross multiply
52.52x = 78.84 × 47.96 - Step 4: Simplify right side
52.52x = 3,781.17 - Step 5: Solve for x
x = 3,781.17/52.52 - Step 6: Final answer
x = 71.99
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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.