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Finding the Fourth Proportional to 13,793.39, 20,684 and 3,930.42

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Solution

The fourth proportional to 13,793.39, 20,684 and 3,930.42 is: 5,893.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.39 : 20,684 = 3,930.42 : x
  2. Step 2: Convert to fraction form
    13,793.39/20,684 = 3,930.42/x
  3. Step 3: Cross multiply
    13,793.39x = 20,684 × 3,930.42
  4. Step 4: Simplify right side
    13,793.39x = 81,296,807.28
  5. Step 5: Solve for x
    x = 81,296,807.28/13,793.39
  6. Step 6: Final answer
    x = 5,893.90

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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.