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Finding the Fourth Proportional to 17,147.30, 25,724.39 and 7,791.80

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Solution

The fourth proportional to 17,147.30, 25,724.39 and 7,791.80 is: 11,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,147.30 : 25,724.39 = 7,791.80 : x
  2. Step 2: Convert to fraction form
    17,147.30/25,724.39 = 7,791.80/x
  3. Step 3: Cross multiply
    17,147.30x = 25,724.39 × 7,791.80
  4. Step 4: Simplify right side
    17,147.30x = 200,439,134.42
  5. Step 5: Solve for x
    x = 200,439,134.42/17,147.30
  6. Step 6: Final answer
    x = 11,689.26

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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.