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Finding the Fourth Proportional to 2,672.32, 4,007.84 and 724.68

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Solution

The fourth proportional to 2,672.32, 4,007.84 and 724.68 is: 1,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.32 : 4,007.84 = 724.68 : x
  2. Step 2: Convert to fraction form
    2,672.32/4,007.84 = 724.68/x
  3. Step 3: Cross multiply
    2,672.32x = 4,007.84 × 724.68
  4. Step 4: Simplify right side
    2,672.32x = 2,904,401.49
  5. Step 5: Solve for x
    x = 2,904,401.49/2,672.32
  6. Step 6: Final answer
    x = 1,086.85

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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.