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Finding the Fourth Proportional to 13,761.92, 20,651.12 and 4,997.52

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Solution

The fourth proportional to 13,761.92, 20,651.12 and 4,997.52 is: 7,499.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.92 : 20,651.12 = 4,997.52 : x
  2. Step 2: Convert to fraction form
    13,761.92/20,651.12 = 4,997.52/x
  3. Step 3: Cross multiply
    13,761.92x = 20,651.12 × 4,997.52
  4. Step 4: Simplify right side
    13,761.92x = 103,204,385.22
  5. Step 5: Solve for x
    x = 103,204,385.22/13,761.92
  6. Step 6: Final answer
    x = 7,499.27

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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.