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Finding the Fourth Proportional to 2,831, 3,906.78 and 1,589

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Solution

The fourth proportional to 2,831, 3,906.78 and 1,589 is: 2,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831 : 3,906.78 = 1,589 : x
  2. Step 2: Convert to fraction form
    2,831/3,906.78 = 1,589/x
  3. Step 3: Cross multiply
    2,831x = 3,906.78 × 1,589
  4. Step 4: Simplify right side
    2,831x = 6,207,873.42
  5. Step 5: Solve for x
    x = 6,207,873.42/2,831
  6. Step 6: Final answer
    x = 2,192.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.