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Finding the Fourth Proportional to 2,614.38, 3,921.11 and 765.45

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Solution

The fourth proportional to 2,614.38, 3,921.11 and 765.45 is: 1,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.38 : 3,921.11 = 765.45 : x
  2. Step 2: Convert to fraction form
    2,614.38/3,921.11 = 765.45/x
  3. Step 3: Cross multiply
    2,614.38x = 3,921.11 × 765.45
  4. Step 4: Simplify right side
    2,614.38x = 3,001,412.69
  5. Step 5: Solve for x
    x = 3,001,412.69/2,614.38
  6. Step 6: Final answer
    x = 1,148.04

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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.