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Finding the Fourth Proportional to 2,581.46, 3,871.81 and 732.73

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Solution

The fourth proportional to 2,581.46, 3,871.81 and 732.73 is: 1,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.46 : 3,871.81 = 732.73 : x
  2. Step 2: Convert to fraction form
    2,581.46/3,871.81 = 732.73/x
  3. Step 3: Cross multiply
    2,581.46x = 3,871.81 × 732.73
  4. Step 4: Simplify right side
    2,581.46x = 2,836,991.34
  5. Step 5: Solve for x
    x = 2,836,991.34/2,581.46
  6. Step 6: Final answer
    x = 1,098.99

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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.