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Finding the Fourth Proportional to 2,407.62, 3,609.12 and 763.04

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Solution

The fourth proportional to 2,407.62, 3,609.12 and 763.04 is: 1,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.62 : 3,609.12 = 763.04 : x
  2. Step 2: Convert to fraction form
    2,407.62/3,609.12 = 763.04/x
  3. Step 3: Cross multiply
    2,407.62x = 3,609.12 × 763.04
  4. Step 4: Simplify right side
    2,407.62x = 2,753,884.88
  5. Step 5: Solve for x
    x = 2,753,884.88/2,407.62
  6. Step 6: Final answer
    x = 1,143.82

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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.