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Finding the Fourth Proportional to 2,640.80, 3,959.22 and 1,600.59

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Solution

The fourth proportional to 2,640.80, 3,959.22 and 1,600.59 is: 2,399.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.80 : 3,959.22 = 1,600.59 : x
  2. Step 2: Convert to fraction form
    2,640.80/3,959.22 = 1,600.59/x
  3. Step 3: Cross multiply
    2,640.80x = 3,959.22 × 1,600.59
  4. Step 4: Simplify right side
    2,640.80x = 6,337,087.94
  5. Step 5: Solve for x
    x = 6,337,087.94/2,640.80
  6. Step 6: Final answer
    x = 2,399.69

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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.