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Finding the Fourth Proportional to 2,440.73, 3,661.31 and 881.17

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Solution

The fourth proportional to 2,440.73, 3,661.31 and 881.17 is: 1,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.73 : 3,661.31 = 881.17 : x
  2. Step 2: Convert to fraction form
    2,440.73/3,661.31 = 881.17/x
  3. Step 3: Cross multiply
    2,440.73x = 3,661.31 × 881.17
  4. Step 4: Simplify right side
    2,440.73x = 3,226,229.58
  5. Step 5: Solve for x
    x = 3,226,229.58/2,440.73
  6. Step 6: Final answer
    x = 1,321.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.