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Finding the Fourth Proportional to 2,672.22, 4,008.39 and 724.56

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Solution

The fourth proportional to 2,672.22, 4,008.39 and 724.56 is: 1,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.22 : 4,008.39 = 724.56 : x
  2. Step 2: Convert to fraction form
    2,672.22/4,008.39 = 724.56/x
  3. Step 3: Cross multiply
    2,672.22x = 4,008.39 × 724.56
  4. Step 4: Simplify right side
    2,672.22x = 2,904,319.06
  5. Step 5: Solve for x
    x = 2,904,319.06/2,672.22
  6. Step 6: Final answer
    x = 1,086.86

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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.