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Finding the Fourth Proportional to 8,132.74, 12,194.55 and 3,451.95

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Solution

The fourth proportional to 8,132.74, 12,194.55 and 3,451.95 is: 5,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.74 : 12,194.55 = 3,451.95 : x
  2. Step 2: Convert to fraction form
    8,132.74/12,194.55 = 3,451.95/x
  3. Step 3: Cross multiply
    8,132.74x = 12,194.55 × 3,451.95
  4. Step 4: Simplify right side
    8,132.74x = 42,094,976.87
  5. Step 5: Solve for x
    x = 42,094,976.87/8,132.74
  6. Step 6: Final answer
    x = 5,175.99

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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.