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Finding the Fourth Proportional to 8,163.92, 12,245.78 and 2,007.92

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Solution

The fourth proportional to 8,163.92, 12,245.78 and 2,007.92 is: 3,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.92 : 12,245.78 = 2,007.92 : x
  2. Step 2: Convert to fraction form
    8,163.92/12,245.78 = 2,007.92/x
  3. Step 3: Cross multiply
    8,163.92x = 12,245.78 × 2,007.92
  4. Step 4: Simplify right side
    8,163.92x = 24,588,546.58
  5. Step 5: Solve for x
    x = 24,588,546.58/8,163.92
  6. Step 6: Final answer
    x = 3,011.86

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1.5x scale

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.