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Finding the Fourth Proportional to 6,757.88, 10,138.43 and 2,140.88

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Solution

The fourth proportional to 6,757.88, 10,138.43 and 2,140.88 is: 3,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757.88 : 10,138.43 = 2,140.88 : x
  2. Step 2: Convert to fraction form
    6,757.88/10,138.43 = 2,140.88/x
  3. Step 3: Cross multiply
    6,757.88x = 10,138.43 × 2,140.88
  4. Step 4: Simplify right side
    6,757.88x = 21,705,116.68
  5. Step 5: Solve for x
    x = 21,705,116.68/6,757.88
  6. Step 6: Final answer
    x = 3,211.83

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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.