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Finding the Fourth Proportional to 13,414.97, 20,122.68 and 7,488.42

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Solution

The fourth proportional to 13,414.97, 20,122.68 and 7,488.42 is: 11,232.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.97 : 20,122.68 = 7,488.42 : x
  2. Step 2: Convert to fraction form
    13,414.97/20,122.68 = 7,488.42/x
  3. Step 3: Cross multiply
    13,414.97x = 20,122.68 × 7,488.42
  4. Step 4: Simplify right side
    13,414.97x = 150,687,159.65
  5. Step 5: Solve for x
    x = 150,687,159.65/13,414.97
  6. Step 6: Final answer
    x = 11,232.76

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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.