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Finding the Fourth Proportional to 2,757.95, 4,136.81 and 677.96

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Solution

The fourth proportional to 2,757.95, 4,136.81 and 677.96 is: 1,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.95 : 4,136.81 = 677.96 : x
  2. Step 2: Convert to fraction form
    2,757.95/4,136.81 = 677.96/x
  3. Step 3: Cross multiply
    2,757.95x = 4,136.81 × 677.96
  4. Step 4: Simplify right side
    2,757.95x = 2,804,571.02
  5. Step 5: Solve for x
    x = 2,804,571.02/2,757.95
  6. Step 6: Final answer
    x = 1,016.91

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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.