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Finding the Fourth Proportional to 2,650.53, 3,977.84 and 1,418.97

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Solution

The fourth proportional to 2,650.53, 3,977.84 and 1,418.97 is: 2,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.53 : 3,977.84 = 1,418.97 : x
  2. Step 2: Convert to fraction form
    2,650.53/3,977.84 = 1,418.97/x
  3. Step 3: Cross multiply
    2,650.53x = 3,977.84 × 1,418.97
  4. Step 4: Simplify right side
    2,650.53x = 5,644,435.62
  5. Step 5: Solve for x
    x = 5,644,435.62/2,650.53
  6. Step 6: Final answer
    x = 2,129.55

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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.