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Finding the Fourth Proportional to 32,771, 49,156.68 and 8,147

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Solution

The fourth proportional to 32,771, 49,156.68 and 8,147 is: 12,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771 : 49,156.68 = 8,147 : x
  2. Step 2: Convert to fraction form
    32,771/49,156.68 = 8,147/x
  3. Step 3: Cross multiply
    32,771x = 49,156.68 × 8,147
  4. Step 4: Simplify right side
    32,771x = 400,479,471.96
  5. Step 5: Solve for x
    x = 400,479,471.96/32,771
  6. Step 6: Final answer
    x = 12,220.54

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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.