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Finding the Fourth Proportional to 2,550.82, 3,825.86 and 819.22

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Solution

The fourth proportional to 2,550.82, 3,825.86 and 819.22 is: 1,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.82 : 3,825.86 = 819.22 : x
  2. Step 2: Convert to fraction form
    2,550.82/3,825.86 = 819.22/x
  3. Step 3: Cross multiply
    2,550.82x = 3,825.86 × 819.22
  4. Step 4: Simplify right side
    2,550.82x = 3,134,201.90
  5. Step 5: Solve for x
    x = 3,134,201.90/2,550.82
  6. Step 6: Final answer
    x = 1,228.71

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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.