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Finding the Fourth Proportional to 8,151.44, 12,200.40 and 6,192.88

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Solution

The fourth proportional to 8,151.44, 12,200.40 and 6,192.88 is: 9,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.44 : 12,200.40 = 6,192.88 : x
  2. Step 2: Convert to fraction form
    8,151.44/12,200.40 = 6,192.88/x
  3. Step 3: Cross multiply
    8,151.44x = 12,200.40 × 6,192.88
  4. Step 4: Simplify right side
    8,151.44x = 75,555,613.15
  5. Step 5: Solve for x
    x = 75,555,613.15/8,151.44
  6. Step 6: Final answer
    x = 9,268.99

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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.