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Finding the Fourth Proportional to 8,176.91, 12,259.89 and 3,791.97

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Solution

The fourth proportional to 8,176.91, 12,259.89 and 3,791.97 is: 5,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.91 : 12,259.89 = 3,791.97 : x
  2. Step 2: Convert to fraction form
    8,176.91/12,259.89 = 3,791.97/x
  3. Step 3: Cross multiply
    8,176.91x = 12,259.89 × 3,791.97
  4. Step 4: Simplify right side
    8,176.91x = 46,489,135.08
  5. Step 5: Solve for x
    x = 46,489,135.08/8,176.91
  6. Step 6: Final answer
    x = 5,685.42

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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.