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Finding the Fourth Proportional to 8,147, 12,212.22 and 3,209.86

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Solution

The fourth proportional to 8,147, 12,212.22 and 3,209.86 is: 4,811.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147 : 12,212.22 = 3,209.86 : x
  2. Step 2: Convert to fraction form
    8,147/12,212.22 = 3,209.86/x
  3. Step 3: Cross multiply
    8,147x = 12,212.22 × 3,209.86
  4. Step 4: Simplify right side
    8,147x = 39,199,516.49
  5. Step 5: Solve for x
    x = 39,199,516.49/8,147
  6. Step 6: Final answer
    x = 4,811.53

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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.