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Finding the Fourth Proportional to 3,871.87, 5,343.01 and 2,103.43

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Solution

The fourth proportional to 3,871.87, 5,343.01 and 2,103.43 is: 2,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.87 : 5,343.01 = 2,103.43 : x
  2. Step 2: Convert to fraction form
    3,871.87/5,343.01 = 2,103.43/x
  3. Step 3: Cross multiply
    3,871.87x = 5,343.01 × 2,103.43
  4. Step 4: Simplify right side
    3,871.87x = 11,238,647.52
  5. Step 5: Solve for x
    x = 11,238,647.52/3,871.87
  6. Step 6: Final answer
    x = 2,902.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.