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Finding the Fourth Proportional to 2,872.49, 4,308.17 and 791.97

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Solution

The fourth proportional to 2,872.49, 4,308.17 and 791.97 is: 1,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.49 : 4,308.17 = 791.97 : x
  2. Step 2: Convert to fraction form
    2,872.49/4,308.17 = 791.97/x
  3. Step 3: Cross multiply
    2,872.49x = 4,308.17 × 791.97
  4. Step 4: Simplify right side
    2,872.49x = 3,411,921.28
  5. Step 5: Solve for x
    x = 3,411,921.28/2,872.49
  6. Step 6: Final answer
    x = 1,187.79

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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.