Home / 2,149.18-3,223.38-762.52

Finding the Fourth Proportional to 2,149.18, 3,223.38 and 762.52

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Solution

The fourth proportional to 2,149.18, 3,223.38 and 762.52 is: 1,143.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.18 : 3,223.38 = 762.52 : x
  2. Step 2: Convert to fraction form
    2,149.18/3,223.38 = 762.52/x
  3. Step 3: Cross multiply
    2,149.18x = 3,223.38 × 762.52
  4. Step 4: Simplify right side
    2,149.18x = 2,457,891.72
  5. Step 5: Solve for x
    x = 2,457,891.72/2,149.18
  6. Step 6: Final answer
    x = 1,143.64

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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.