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Finding the Fourth Proportional to 39,882.76, 59,829.81 and 13,591.78

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Solution

The fourth proportional to 39,882.76, 59,829.81 and 13,591.78 is: 20,389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,882.76 : 59,829.81 = 13,591.78 : x
  2. Step 2: Convert to fraction form
    39,882.76/59,829.81 = 13,591.78/x
  3. Step 3: Cross multiply
    39,882.76x = 59,829.81 × 13,591.78
  4. Step 4: Simplify right side
    39,882.76x = 813,193,614.96
  5. Step 5: Solve for x
    x = 813,193,614.96/39,882.76
  6. Step 6: Final answer
    x = 20,389.60

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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.