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Finding the Fourth Proportional to 2,757.88, 4,136.82 and 677.89

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Solution

The fourth proportional to 2,757.88, 4,136.82 and 677.89 is: 1,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.88 : 4,136.82 = 677.89 : x
  2. Step 2: Convert to fraction form
    2,757.88/4,136.82 = 677.89/x
  3. Step 3: Cross multiply
    2,757.88x = 4,136.82 × 677.89
  4. Step 4: Simplify right side
    2,757.88x = 2,804,308.91
  5. Step 5: Solve for x
    x = 2,804,308.91/2,757.88
  6. Step 6: Final answer
    x = 1,016.84

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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.