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Finding the Fourth Proportional to 3,843.64, 5,766.27 and 1,246.38

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Solution

The fourth proportional to 3,843.64, 5,766.27 and 1,246.38 is: 1,869.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.64 : 5,766.27 = 1,246.38 : x
  2. Step 2: Convert to fraction form
    3,843.64/5,766.27 = 1,246.38/x
  3. Step 3: Cross multiply
    3,843.64x = 5,766.27 × 1,246.38
  4. Step 4: Simplify right side
    3,843.64x = 7,186,963.60
  5. Step 5: Solve for x
    x = 7,186,963.60/3,843.64
  6. Step 6: Final answer
    x = 1,869.83

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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.