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Finding the Fourth Proportional to 2,542.22, 3,812.81 and 898.83

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Solution

The fourth proportional to 2,542.22, 3,812.81 and 898.83 is: 1,348.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.22 : 3,812.81 = 898.83 : x
  2. Step 2: Convert to fraction form
    2,542.22/3,812.81 = 898.83/x
  3. Step 3: Cross multiply
    2,542.22x = 3,812.81 × 898.83
  4. Step 4: Simplify right side
    2,542.22x = 3,427,063.52
  5. Step 5: Solve for x
    x = 3,427,063.52/2,542.22
  6. Step 6: Final answer
    x = 1,348.06

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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.