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Finding the Fourth Proportional to 8,091.92, 12,133.02 and 5,486.96

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Solution

The fourth proportional to 8,091.92, 12,133.02 and 5,486.96 is: 8,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.92 : 12,133.02 = 5,486.96 : x
  2. Step 2: Convert to fraction form
    8,091.92/12,133.02 = 5,486.96/x
  3. Step 3: Cross multiply
    8,091.92x = 12,133.02 × 5,486.96
  4. Step 4: Simplify right side
    8,091.92x = 66,573,395.42
  5. Step 5: Solve for x
    x = 66,573,395.42/8,091.92
  6. Step 6: Final answer
    x = 8,227.14

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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.