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Finding the Fourth Proportional to 3,857.92, 5,786.76 and 1,084.61

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Solution

The fourth proportional to 3,857.92, 5,786.76 and 1,084.61 is: 1,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.92 : 5,786.76 = 1,084.61 : x
  2. Step 2: Convert to fraction form
    3,857.92/5,786.76 = 1,084.61/x
  3. Step 3: Cross multiply
    3,857.92x = 5,786.76 × 1,084.61
  4. Step 4: Simplify right side
    3,857.92x = 6,276,377.76
  5. Step 5: Solve for x
    x = 6,276,377.76/3,857.92
  6. Step 6: Final answer
    x = 1,626.88

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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.