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Finding the Fourth Proportional to 13,662.80, 20,494.56 and 5,342.48

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Solution

The fourth proportional to 13,662.80, 20,494.56 and 5,342.48 is: 8,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.80 : 20,494.56 = 5,342.48 : x
  2. Step 2: Convert to fraction form
    13,662.80/20,494.56 = 5,342.48/x
  3. Step 3: Cross multiply
    13,662.80x = 20,494.56 × 5,342.48
  4. Step 4: Simplify right side
    13,662.80x = 109,491,776.91
  5. Step 5: Solve for x
    x = 109,491,776.91/13,662.80
  6. Step 6: Final answer
    x = 8,013.86

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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.