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Finding the Fourth Proportional to 13,500.20, 20,251.92 and 5,708

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Solution

The fourth proportional to 13,500.20, 20,251.92 and 5,708 is: 8,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.20 : 20,251.92 = 5,708 : x
  2. Step 2: Convert to fraction form
    13,500.20/20,251.92 = 5,708/x
  3. Step 3: Cross multiply
    13,500.20x = 20,251.92 × 5,708
  4. Step 4: Simplify right side
    13,500.20x = 115,597,959.36
  5. Step 5: Solve for x
    x = 115,597,959.36/13,500.20
  6. Step 6: Final answer
    x = 8,562.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.