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Finding the Fourth Proportional to 2,614.06, 3,921.17 and 765.13

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Solution

The fourth proportional to 2,614.06, 3,921.17 and 765.13 is: 1,147.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.06 : 3,921.17 = 765.13 : x
  2. Step 2: Convert to fraction form
    2,614.06/3,921.17 = 765.13/x
  3. Step 3: Cross multiply
    2,614.06x = 3,921.17 × 765.13
  4. Step 4: Simplify right side
    2,614.06x = 3,000,204.80
  5. Step 5: Solve for x
    x = 3,000,204.80/2,614.06
  6. Step 6: Final answer
    x = 1,147.72

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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.