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Finding the Fourth Proportional to 11,791.59, 17,687.66 and 3,891.57

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Solution

The fourth proportional to 11,791.59, 17,687.66 and 3,891.57 is: 5,837.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.59 : 17,687.66 = 3,891.57 : x
  2. Step 2: Convert to fraction form
    11,791.59/17,687.66 = 3,891.57/x
  3. Step 3: Cross multiply
    11,791.59x = 17,687.66 × 3,891.57
  4. Step 4: Simplify right side
    11,791.59x = 68,832,747.57
  5. Step 5: Solve for x
    x = 68,832,747.57/11,791.59
  6. Step 6: Final answer
    x = 5,837.44

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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.