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Finding the Fourth Proportional to 3,876.40, 5,807.31 and 3,833.27

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Solution

The fourth proportional to 3,876.40, 5,807.31 and 3,833.27 is: 5,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.40 : 5,807.31 = 3,833.27 : x
  2. Step 2: Convert to fraction form
    3,876.40/5,807.31 = 3,833.27/x
  3. Step 3: Cross multiply
    3,876.40x = 5,807.31 × 3,833.27
  4. Step 4: Simplify right side
    3,876.40x = 22,260,965.57
  5. Step 5: Solve for x
    x = 22,260,965.57/3,876.40
  6. Step 6: Final answer
    x = 5,742.69

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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.