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Finding the Fourth Proportional to 3,791.59, 5,232.38 and 2,112.97

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Solution

The fourth proportional to 3,791.59, 5,232.38 and 2,112.97 is: 2,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.59 : 5,232.38 = 2,112.97 : x
  2. Step 2: Convert to fraction form
    3,791.59/5,232.38 = 2,112.97/x
  3. Step 3: Cross multiply
    3,791.59x = 5,232.38 × 2,112.97
  4. Step 4: Simplify right side
    3,791.59x = 11,055,861.97
  5. Step 5: Solve for x
    x = 11,055,861.97/3,791.59
  6. Step 6: Final answer
    x = 2,915.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.