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Finding the Fourth Proportional to 17,140.80, 25,713.12 and 5,449.92

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Solution

The fourth proportional to 17,140.80, 25,713.12 and 5,449.92 is: 8,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.80 : 25,713.12 = 5,449.92 : x
  2. Step 2: Convert to fraction form
    17,140.80/25,713.12 = 5,449.92/x
  3. Step 3: Cross multiply
    17,140.80x = 25,713.12 × 5,449.92
  4. Step 4: Simplify right side
    17,140.80x = 140,134,446.95
  5. Step 5: Solve for x
    x = 140,134,446.95/17,140.80
  6. Step 6: Final answer
    x = 8,175.49

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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.