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Finding the Fourth Proportional to 2,149.72, 3,224.90 and 917.12

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Solution

The fourth proportional to 2,149.72, 3,224.90 and 917.12 is: 1,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.72 : 3,224.90 = 917.12 : x
  2. Step 2: Convert to fraction form
    2,149.72/3,224.90 = 917.12/x
  3. Step 3: Cross multiply
    2,149.72x = 3,224.90 × 917.12
  4. Step 4: Simplify right side
    2,149.72x = 2,957,620.29
  5. Step 5: Solve for x
    x = 2,957,620.29/2,149.72
  6. Step 6: Final answer
    x = 1,375.82

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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.