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Finding the Fourth Proportional to 8,069.68, 12,105.90 and 3,687.56

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Solution

The fourth proportional to 8,069.68, 12,105.90 and 3,687.56 is: 5,531.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.68 : 12,105.90 = 3,687.56 : x
  2. Step 2: Convert to fraction form
    8,069.68/12,105.90 = 3,687.56/x
  3. Step 3: Cross multiply
    8,069.68x = 12,105.90 × 3,687.56
  4. Step 4: Simplify right side
    8,069.68x = 44,641,232.60
  5. Step 5: Solve for x
    x = 44,641,232.60/8,069.68
  6. Step 6: Final answer
    x = 5,531.97

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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.