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Finding the Fourth Proportional to 20,634.57, 30,942.54 and 5,839.97

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Solution

The fourth proportional to 20,634.57, 30,942.54 and 5,839.97 is: 8,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.57 : 30,942.54 = 5,839.97 : x
  2. Step 2: Convert to fraction form
    20,634.57/30,942.54 = 5,839.97/x
  3. Step 3: Cross multiply
    20,634.57x = 30,942.54 × 5,839.97
  4. Step 4: Simplify right side
    20,634.57x = 180,703,350.61
  5. Step 5: Solve for x
    x = 180,703,350.61/20,634.57
  6. Step 6: Final answer
    x = 8,757.31

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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.