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Finding the Fourth Proportional to 10,487.77, 15,737.10 and 9,882.70

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Solution

The fourth proportional to 10,487.77, 15,737.10 and 9,882.70 is: 14,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.77 : 15,737.10 = 9,882.70 : x
  2. Step 2: Convert to fraction form
    10,487.77/15,737.10 = 9,882.70/x
  3. Step 3: Cross multiply
    10,487.77x = 15,737.10 × 9,882.70
  4. Step 4: Simplify right side
    10,487.77x = 155,525,038.17
  5. Step 5: Solve for x
    x = 155,525,038.17/10,487.77
  6. Step 6: Final answer
    x = 14,829.18

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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.