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Finding the Fourth Proportional to 15,732.92, 21,708.96 and 9,017.61

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Solution

The fourth proportional to 15,732.92, 21,708.96 and 9,017.61 is: 12,442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.92 : 21,708.96 = 9,017.61 : x
  2. Step 2: Convert to fraction form
    15,732.92/21,708.96 = 9,017.61/x
  3. Step 3: Cross multiply
    15,732.92x = 21,708.96 × 9,017.61
  4. Step 4: Simplify right side
    15,732.92x = 195,762,934.79
  5. Step 5: Solve for x
    x = 195,762,934.79/15,732.92
  6. Step 6: Final answer
    x = 12,442.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.