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Finding the Fourth Proportional to 13,871.52, 20,791.92 and 6,065.28

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Solution

The fourth proportional to 13,871.52, 20,791.92 and 6,065.28 is: 9,091.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.52 : 20,791.92 = 6,065.28 : x
  2. Step 2: Convert to fraction form
    13,871.52/20,791.92 = 6,065.28/x
  3. Step 3: Cross multiply
    13,871.52x = 20,791.92 × 6,065.28
  4. Step 4: Simplify right side
    13,871.52x = 126,108,816.54
  5. Step 5: Solve for x
    x = 126,108,816.54/13,871.52
  6. Step 6: Final answer
    x = 9,091.20

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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.