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Finding the Fourth Proportional to 2,672.23, 4,008.07 and 724.63

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Solution

The fourth proportional to 2,672.23, 4,008.07 and 724.63 is: 1,086.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.23 : 4,008.07 = 724.63 : x
  2. Step 2: Convert to fraction form
    2,672.23/4,008.07 = 724.63/x
  3. Step 3: Cross multiply
    2,672.23x = 4,008.07 × 724.63
  4. Step 4: Simplify right side
    2,672.23x = 2,904,367.76
  5. Step 5: Solve for x
    x = 2,904,367.76/2,672.23
  6. Step 6: Final answer
    x = 1,086.87

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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.