Home / 2,138.20-3,207.82-1,261.44

Finding the Fourth Proportional to 2,138.20, 3,207.82 and 1,261.44

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Solution

The fourth proportional to 2,138.20, 3,207.82 and 1,261.44 is: 1,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.20 : 3,207.82 = 1,261.44 : x
  2. Step 2: Convert to fraction form
    2,138.20/3,207.82 = 1,261.44/x
  3. Step 3: Cross multiply
    2,138.20x = 3,207.82 × 1,261.44
  4. Step 4: Simplify right side
    2,138.20x = 4,046,472.46
  5. Step 5: Solve for x
    x = 4,046,472.46/2,138.20
  6. Step 6: Final answer
    x = 1,892.47

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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.