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Finding the Fourth Proportional to 4,979.97, 7,471.17 and 1,517.22

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Solution

The fourth proportional to 4,979.97, 7,471.17 and 1,517.22 is: 2,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.97 : 7,471.17 = 1,517.22 : x
  2. Step 2: Convert to fraction form
    4,979.97/7,471.17 = 1,517.22/x
  3. Step 3: Cross multiply
    4,979.97x = 7,471.17 × 1,517.22
  4. Step 4: Simplify right side
    4,979.97x = 11,335,408.55
  5. Step 5: Solve for x
    x = 11,335,408.55/4,979.97
  6. Step 6: Final answer
    x = 2,276.20

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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.