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Finding the Fourth Proportional to 8,039.84, 12,057.36 and 2,195.68

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Solution

The fourth proportional to 8,039.84, 12,057.36 and 2,195.68 is: 3,292.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.84 : 12,057.36 = 2,195.68 : x
  2. Step 2: Convert to fraction form
    8,039.84/12,057.36 = 2,195.68/x
  3. Step 3: Cross multiply
    8,039.84x = 12,057.36 × 2,195.68
  4. Step 4: Simplify right side
    8,039.84x = 26,474,104.20
  5. Step 5: Solve for x
    x = 26,474,104.20/8,039.84
  6. Step 6: Final answer
    x = 3,292.86

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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.