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Finding the Fourth Proportional to 8,195.78, 12,295.19 and 3,268.96

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Solution

The fourth proportional to 8,195.78, 12,295.19 and 3,268.96 is: 4,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.78 : 12,295.19 = 3,268.96 : x
  2. Step 2: Convert to fraction form
    8,195.78/12,295.19 = 3,268.96/x
  3. Step 3: Cross multiply
    8,195.78x = 12,295.19 × 3,268.96
  4. Step 4: Simplify right side
    8,195.78x = 40,192,461.74
  5. Step 5: Solve for x
    x = 40,192,461.74/8,195.78
  6. Step 6: Final answer
    x = 4,904.04

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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.