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Finding the Fourth Proportional to 13,654, 20,480.96 and 3,793.32

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Solution

The fourth proportional to 13,654, 20,480.96 and 3,793.32 is: 5,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654 : 20,480.96 = 3,793.32 : x
  2. Step 2: Convert to fraction form
    13,654/20,480.96 = 3,793.32/x
  3. Step 3: Cross multiply
    13,654x = 20,480.96 × 3,793.32
  4. Step 4: Simplify right side
    13,654x = 77,690,835.19
  5. Step 5: Solve for x
    x = 77,690,835.19/13,654
  6. Step 6: Final answer
    x = 5,689.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.