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Finding the Fourth Proportional to 8,057.78, 12,086.72 and 2,214.44

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Solution

The fourth proportional to 8,057.78, 12,086.72 and 2,214.44 is: 3,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.78 : 12,086.72 = 2,214.44 : x
  2. Step 2: Convert to fraction form
    8,057.78/12,086.72 = 2,214.44/x
  3. Step 3: Cross multiply
    8,057.78x = 12,086.72 × 2,214.44
  4. Step 4: Simplify right side
    8,057.78x = 26,765,351.99
  5. Step 5: Solve for x
    x = 26,765,351.99/8,057.78
  6. Step 6: Final answer
    x = 3,321.68

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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.