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Finding the Fourth Proportional to 10,057.52, 15,082.68 and 3,481.94

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Solution

The fourth proportional to 10,057.52, 15,082.68 and 3,481.94 is: 5,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.52 : 15,082.68 = 3,481.94 : x
  2. Step 2: Convert to fraction form
    10,057.52/15,082.68 = 3,481.94/x
  3. Step 3: Cross multiply
    10,057.52x = 15,082.68 × 3,481.94
  4. Step 4: Simplify right side
    10,057.52x = 52,516,986.80
  5. Step 5: Solve for x
    x = 52,516,986.80/10,057.52
  6. Step 6: Final answer
    x = 5,221.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.