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Finding the Fourth Proportional to 10,502.50, 15,737.88 and 6,337.88

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Solution

The fourth proportional to 10,502.50, 15,737.88 and 6,337.88 is: 9,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.50 : 15,737.88 = 6,337.88 : x
  2. Step 2: Convert to fraction form
    10,502.50/15,737.88 = 6,337.88/x
  3. Step 3: Cross multiply
    10,502.50x = 15,737.88 × 6,337.88
  4. Step 4: Simplify right side
    10,502.50x = 99,744,794.89
  5. Step 5: Solve for x
    x = 99,744,794.89/10,502.50
  6. Step 6: Final answer
    x = 9,497.24

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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.