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Finding the Fourth Proportional to 8,067.65, 12,102.21 and 3,137.66

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Solution

The fourth proportional to 8,067.65, 12,102.21 and 3,137.66 is: 4,706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.65 : 12,102.21 = 3,137.66 : x
  2. Step 2: Convert to fraction form
    8,067.65/12,102.21 = 3,137.66/x
  3. Step 3: Cross multiply
    8,067.65x = 12,102.21 × 3,137.66
  4. Step 4: Simplify right side
    8,067.65x = 37,972,605.10
  5. Step 5: Solve for x
    x = 37,972,605.10/8,067.65
  6. Step 6: Final answer
    x = 4,706.78

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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.