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Finding the Fourth Proportional to 3,871.70, 5,342.92 and 2,103.32

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Solution

The fourth proportional to 3,871.70, 5,342.92 and 2,103.32 is: 2,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.70 : 5,342.92 = 2,103.32 : x
  2. Step 2: Convert to fraction form
    3,871.70/5,342.92 = 2,103.32/x
  3. Step 3: Cross multiply
    3,871.70x = 5,342.92 × 2,103.32
  4. Step 4: Simplify right side
    3,871.70x = 11,237,858.56
  5. Step 5: Solve for x
    x = 11,237,858.56/3,871.70
  6. Step 6: Final answer
    x = 2,902.56

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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.