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Finding the Fourth Proportional to 2,757.85, 4,136.64 and 677.73

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Solution

The fourth proportional to 2,757.85, 4,136.64 and 677.73 is: 1,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.85 : 4,136.64 = 677.73 : x
  2. Step 2: Convert to fraction form
    2,757.85/4,136.64 = 677.73/x
  3. Step 3: Cross multiply
    2,757.85x = 4,136.64 × 677.73
  4. Step 4: Simplify right side
    2,757.85x = 2,803,538.00
  5. Step 5: Solve for x
    x = 2,803,538.00/2,757.85
  6. Step 6: Final answer
    x = 1,016.57

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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.