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Finding the Fourth Proportional to 3,114.89, 4,649.55 and 2,745.83

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Solution

The fourth proportional to 3,114.89, 4,649.55 and 2,745.83 is: 4,098.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.89 : 4,649.55 = 2,745.83 : x
  2. Step 2: Convert to fraction form
    3,114.89/4,649.55 = 2,745.83/x
  3. Step 3: Cross multiply
    3,114.89x = 4,649.55 × 2,745.83
  4. Step 4: Simplify right side
    3,114.89x = 12,766,860.15
  5. Step 5: Solve for x
    x = 12,766,860.15/3,114.89
  6. Step 6: Final answer
    x = 4,098.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.