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Finding the Fourth Proportional to 8,771.40, 13,150.62 and 4,149

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Solution

The fourth proportional to 8,771.40, 13,150.62 and 4,149 is: 6,220.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,771.40 : 13,150.62 = 4,149 : x
  2. Step 2: Convert to fraction form
    8,771.40/13,150.62 = 4,149/x
  3. Step 3: Cross multiply
    8,771.40x = 13,150.62 × 4,149
  4. Step 4: Simplify right side
    8,771.40x = 54,561,922.38
  5. Step 5: Solve for x
    x = 54,561,922.38/8,771.40
  6. Step 6: Final answer
    x = 6,220.43

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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.