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Finding the Fourth Proportional to 8,614.38, 11,870.31 and 8,149.50

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Solution

The fourth proportional to 8,614.38, 11,870.31 and 8,149.50 is: 11,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.38 : 11,870.31 = 8,149.50 : x
  2. Step 2: Convert to fraction form
    8,614.38/11,870.31 = 8,149.50/x
  3. Step 3: Cross multiply
    8,614.38x = 11,870.31 × 8,149.50
  4. Step 4: Simplify right side
    8,614.38x = 96,737,091.35
  5. Step 5: Solve for x
    x = 96,737,091.35/8,614.38
  6. Step 6: Final answer
    x = 11,229.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.