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Finding the Fourth Proportional to 13,496.92, 20,231.52 and 5,174.68

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Solution

The fourth proportional to 13,496.92, 20,231.52 and 5,174.68 is: 7,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.92 : 20,231.52 = 5,174.68 : x
  2. Step 2: Convert to fraction form
    13,496.92/20,231.52 = 5,174.68/x
  3. Step 3: Cross multiply
    13,496.92x = 20,231.52 × 5,174.68
  4. Step 4: Simplify right side
    13,496.92x = 104,691,641.91
  5. Step 5: Solve for x
    x = 104,691,641.91/13,496.92
  6. Step 6: Final answer
    x = 7,756.71

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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.