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Finding the Fourth Proportional to 3,858.27, 5,786.72 and 1,084.28

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Solution

The fourth proportional to 3,858.27, 5,786.72 and 1,084.28 is: 1,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.27 : 5,786.72 = 1,084.28 : x
  2. Step 2: Convert to fraction form
    3,858.27/5,786.72 = 1,084.28/x
  3. Step 3: Cross multiply
    3,858.27x = 5,786.72 × 1,084.28
  4. Step 4: Simplify right side
    3,858.27x = 6,274,390.41
  5. Step 5: Solve for x
    x = 6,274,390.41/3,858.27
  6. Step 6: Final answer
    x = 1,626.22

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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.