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Finding the Fourth Proportional to 2,616.57, 3,923.10 and 1,229.13

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Solution

The fourth proportional to 2,616.57, 3,923.10 and 1,229.13 is: 1,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.57 : 3,923.10 = 1,229.13 : x
  2. Step 2: Convert to fraction form
    2,616.57/3,923.10 = 1,229.13/x
  3. Step 3: Cross multiply
    2,616.57x = 3,923.10 × 1,229.13
  4. Step 4: Simplify right side
    2,616.57x = 4,821,999.90
  5. Step 5: Solve for x
    x = 4,821,999.90/2,616.57
  6. Step 6: Final answer
    x = 1,842.87

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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.