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Finding the Fourth Proportional to 2,757.82, 3,805.80 and 1,578.90

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Solution

The fourth proportional to 2,757.82, 3,805.80 and 1,578.90 is: 2,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.82 : 3,805.80 = 1,578.90 : x
  2. Step 2: Convert to fraction form
    2,757.82/3,805.80 = 1,578.90/x
  3. Step 3: Cross multiply
    2,757.82x = 3,805.80 × 1,578.90
  4. Step 4: Simplify right side
    2,757.82x = 6,008,957.43
  5. Step 5: Solve for x
    x = 6,008,957.43/2,757.82
  6. Step 6: Final answer
    x = 2,178.88

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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.