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Finding the Fourth Proportional to 2,672.25, 4,007.88 and 724.20

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Solution

The fourth proportional to 2,672.25, 4,007.88 and 724.20 is: 1,086.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.25 : 4,007.88 = 724.20 : x
  2. Step 2: Convert to fraction form
    2,672.25/4,007.88 = 724.20/x
  3. Step 3: Cross multiply
    2,672.25x = 4,007.88 × 724.20
  4. Step 4: Simplify right side
    2,672.25x = 2,902,506.70
  5. Step 5: Solve for x
    x = 2,902,506.70/2,672.25
  6. Step 6: Final answer
    x = 1,086.17

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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.