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Finding the Fourth Proportional to 8,658.09, 13,011.71 and 8,067.87

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Solution

The fourth proportional to 8,658.09, 13,011.71 and 8,067.87 is: 12,124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.09 : 13,011.71 = 8,067.87 : x
  2. Step 2: Convert to fraction form
    8,658.09/13,011.71 = 8,067.87/x
  3. Step 3: Cross multiply
    8,658.09x = 13,011.71 × 8,067.87
  4. Step 4: Simplify right side
    8,658.09x = 104,976,744.42
  5. Step 5: Solve for x
    x = 104,976,744.42/8,658.09
  6. Step 6: Final answer
    x = 12,124.70

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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.