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Finding the Fourth Proportional to 8,132.69, 12,193.56 and 3,747.75

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Solution

The fourth proportional to 8,132.69, 12,193.56 and 3,747.75 is: 5,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.69 : 12,193.56 = 3,747.75 : x
  2. Step 2: Convert to fraction form
    8,132.69/12,193.56 = 3,747.75/x
  3. Step 3: Cross multiply
    8,132.69x = 12,193.56 × 3,747.75
  4. Step 4: Simplify right side
    8,132.69x = 45,698,414.49
  5. Step 5: Solve for x
    x = 45,698,414.49/8,132.69
  6. Step 6: Final answer
    x = 5,619.10

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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.