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Finding the Fourth Proportional to 20,502.72, 30,753.81 and 5,711.72

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Solution

The fourth proportional to 20,502.72, 30,753.81 and 5,711.72 is: 8,567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.72 : 30,753.81 = 5,711.72 : x
  2. Step 2: Convert to fraction form
    20,502.72/30,753.81 = 5,711.72/x
  3. Step 3: Cross multiply
    20,502.72x = 30,753.81 × 5,711.72
  4. Step 4: Simplify right side
    20,502.72x = 175,656,997.88
  5. Step 5: Solve for x
    x = 175,656,997.88/20,502.72
  6. Step 6: Final answer
    x = 8,567.50

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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.