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Finding the Fourth Proportional to 20,862.38, 31,287.20 and 8,375.83

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Solution

The fourth proportional to 20,862.38, 31,287.20 and 8,375.83 is: 12,561.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,862.38 : 31,287.20 = 8,375.83 : x
  2. Step 2: Convert to fraction form
    20,862.38/31,287.20 = 8,375.83/x
  3. Step 3: Cross multiply
    20,862.38x = 31,287.20 × 8,375.83
  4. Step 4: Simplify right side
    20,862.38x = 262,056,148.28
  5. Step 5: Solve for x
    x = 262,056,148.28/20,862.38
  6. Step 6: Final answer
    x = 12,561.18

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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.