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Finding the Fourth Proportional to 15,791.28, 23,661 and 5,397.36

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Solution

The fourth proportional to 15,791.28, 23,661 and 5,397.36 is: 8,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,791.28 : 23,661 = 5,397.36 : x
  2. Step 2: Convert to fraction form
    15,791.28/23,661 = 5,397.36/x
  3. Step 3: Cross multiply
    15,791.28x = 23,661 × 5,397.36
  4. Step 4: Simplify right side
    15,791.28x = 127,706,934.96
  5. Step 5: Solve for x
    x = 127,706,934.96/15,791.28
  6. Step 6: Final answer
    x = 8,087.18

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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.