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Finding the Fourth Proportional to 13,417.92, 20,123.82 and 5,098.86

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Solution

The fourth proportional to 13,417.92, 20,123.82 and 5,098.86 is: 7,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.92 : 20,123.82 = 5,098.86 : x
  2. Step 2: Convert to fraction form
    13,417.92/20,123.82 = 5,098.86/x
  3. Step 3: Cross multiply
    13,417.92x = 20,123.82 × 5,098.86
  4. Step 4: Simplify right side
    13,417.92x = 102,608,540.85
  5. Step 5: Solve for x
    x = 102,608,540.85/13,417.92
  6. Step 6: Final answer
    x = 7,647.13

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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.