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Finding the Fourth Proportional to 10,513.92, 15,751.20 and 9,432

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Solution

The fourth proportional to 10,513.92, 15,751.20 and 9,432 is: 14,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.92 : 15,751.20 = 9,432 : x
  2. Step 2: Convert to fraction form
    10,513.92/15,751.20 = 9,432/x
  3. Step 3: Cross multiply
    10,513.92x = 15,751.20 × 9,432
  4. Step 4: Simplify right side
    10,513.92x = 148,565,318.40
  5. Step 5: Solve for x
    x = 148,565,318.40/10,513.92
  6. Step 6: Final answer
    x = 14,130.35

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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.