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Finding the Fourth Proportional to 3,959, 5,463 and 2,190.56

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Solution

The fourth proportional to 3,959, 5,463 and 2,190.56 is: 3,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959 : 5,463 = 2,190.56 : x
  2. Step 2: Convert to fraction form
    3,959/5,463 = 2,190.56/x
  3. Step 3: Cross multiply
    3,959x = 5,463 × 2,190.56
  4. Step 4: Simplify right side
    3,959x = 11,967,029.28
  5. Step 5: Solve for x
    x = 11,967,029.28/3,959
  6. Step 6: Final answer
    x = 3,022.74

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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.