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Finding the Fourth Proportional to 13,851.92, 20,780.92 and 3,991.28

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Solution

The fourth proportional to 13,851.92, 20,780.92 and 3,991.28 is: 5,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.92 : 20,780.92 = 3,991.28 : x
  2. Step 2: Convert to fraction form
    13,851.92/20,780.92 = 3,991.28/x
  3. Step 3: Cross multiply
    13,851.92x = 20,780.92 × 3,991.28
  4. Step 4: Simplify right side
    13,851.92x = 82,942,470.38
  5. Step 5: Solve for x
    x = 82,942,470.38/13,851.92
  6. Step 6: Final answer
    x = 5,987.80

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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.