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Finding the Fourth Proportional to 8,102.52, 12,136.32 and 6,770.61

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Solution

The fourth proportional to 8,102.52, 12,136.32 and 6,770.61 is: 10,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.52 : 12,136.32 = 6,770.61 : x
  2. Step 2: Convert to fraction form
    8,102.52/12,136.32 = 6,770.61/x
  3. Step 3: Cross multiply
    8,102.52x = 12,136.32 × 6,770.61
  4. Step 4: Simplify right side
    8,102.52x = 82,170,289.56
  5. Step 5: Solve for x
    x = 82,170,289.56/8,102.52
  6. Step 6: Final answer
    x = 10,141.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.