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Finding the Fourth Proportional to 20,425.86, 30,652.14 and 8,739.99

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Solution

The fourth proportional to 20,425.86, 30,652.14 and 8,739.99 is: 13,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,425.86 : 30,652.14 = 8,739.99 : x
  2. Step 2: Convert to fraction form
    20,425.86/30,652.14 = 8,739.99/x
  3. Step 3: Cross multiply
    20,425.86x = 30,652.14 × 8,739.99
  4. Step 4: Simplify right side
    20,425.86x = 267,899,397.08
  5. Step 5: Solve for x
    x = 267,899,397.08/20,425.86
  6. Step 6: Final answer
    x = 13,115.70

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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.