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Finding the Fourth Proportional to 2,149.25, 3,224.37 and 668.39

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Solution

The fourth proportional to 2,149.25, 3,224.37 and 668.39 is: 1,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.25 : 3,224.37 = 668.39 : x
  2. Step 2: Convert to fraction form
    2,149.25/3,224.37 = 668.39/x
  3. Step 3: Cross multiply
    2,149.25x = 3,224.37 × 668.39
  4. Step 4: Simplify right side
    2,149.25x = 2,155,120.54
  5. Step 5: Solve for x
    x = 2,155,120.54/2,149.25
  6. Step 6: Final answer
    x = 1,002.73

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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.