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Finding the Fourth Proportional to 8,522.60, 12,781.38 and 3,839.90

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Solution

The fourth proportional to 8,522.60, 12,781.38 and 3,839.90 is: 5,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.60 : 12,781.38 = 3,839.90 : x
  2. Step 2: Convert to fraction form
    8,522.60/12,781.38 = 3,839.90/x
  3. Step 3: Cross multiply
    8,522.60x = 12,781.38 × 3,839.90
  4. Step 4: Simplify right side
    8,522.60x = 49,079,221.06
  5. Step 5: Solve for x
    x = 49,079,221.06/8,522.60
  6. Step 6: Final answer
    x = 5,758.71

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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.