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Finding the Fourth Proportional to 13,496.38, 20,250.42 and 7,249.10

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Solution

The fourth proportional to 13,496.38, 20,250.42 and 7,249.10 is: 10,876.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.38 : 20,250.42 = 7,249.10 : x
  2. Step 2: Convert to fraction form
    13,496.38/20,250.42 = 7,249.10/x
  3. Step 3: Cross multiply
    13,496.38x = 20,250.42 × 7,249.10
  4. Step 4: Simplify right side
    13,496.38x = 146,797,319.62
  5. Step 5: Solve for x
    x = 146,797,319.62/13,496.38
  6. Step 6: Final answer
    x = 10,876.79

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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.