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Finding the Fourth Proportional to 8,131.86, 12,198.21 and 2,288.92

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Solution

The fourth proportional to 8,131.86, 12,198.21 and 2,288.92 is: 3,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.86 : 12,198.21 = 2,288.92 : x
  2. Step 2: Convert to fraction form
    8,131.86/12,198.21 = 2,288.92/x
  3. Step 3: Cross multiply
    8,131.86x = 12,198.21 × 2,288.92
  4. Step 4: Simplify right side
    8,131.86x = 27,920,715.39
  5. Step 5: Solve for x
    x = 27,920,715.39/8,131.86
  6. Step 6: Final answer
    x = 3,433.50

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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.