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Finding the Fourth Proportional to 2,149.44, 3,223.32 and 762.72

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Solution

The fourth proportional to 2,149.44, 3,223.32 and 762.72 is: 1,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.44 : 3,223.32 = 762.72 : x
  2. Step 2: Convert to fraction form
    2,149.44/3,223.32 = 762.72/x
  3. Step 3: Cross multiply
    2,149.44x = 3,223.32 × 762.72
  4. Step 4: Simplify right side
    2,149.44x = 2,458,490.63
  5. Step 5: Solve for x
    x = 2,458,490.63/2,149.44
  6. Step 6: Final answer
    x = 1,143.78

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1.5x scale

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.