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Finding the Fourth Proportional to 2,757.88, 3,805.68 and 2,169.82

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Solution

The fourth proportional to 2,757.88, 3,805.68 and 2,169.82 is: 2,994.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.88 : 3,805.68 = 2,169.82 : x
  2. Step 2: Convert to fraction form
    2,757.88/3,805.68 = 2,169.82/x
  3. Step 3: Cross multiply
    2,757.88x = 3,805.68 × 2,169.82
  4. Step 4: Simplify right side
    2,757.88x = 8,257,640.58
  5. Step 5: Solve for x
    x = 8,257,640.58/2,757.88
  6. Step 6: Final answer
    x = 2,994.20

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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.