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Finding the Fourth Proportional to 3,881.32, 5,821.57 and 1,107.82

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Solution

The fourth proportional to 3,881.32, 5,821.57 and 1,107.82 is: 1,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.32 : 5,821.57 = 1,107.82 : x
  2. Step 2: Convert to fraction form
    3,881.32/5,821.57 = 1,107.82/x
  3. Step 3: Cross multiply
    3,881.32x = 5,821.57 × 1,107.82
  4. Step 4: Simplify right side
    3,881.32x = 6,449,251.68
  5. Step 5: Solve for x
    x = 6,449,251.68/3,881.32
  6. Step 6: Final answer
    x = 1,661.61

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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.