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Finding the Fourth Proportional to 2,112.55, 3,167.86 and 879.22

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Solution

The fourth proportional to 2,112.55, 3,167.86 and 879.22 is: 1,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.55 : 3,167.86 = 879.22 : x
  2. Step 2: Convert to fraction form
    2,112.55/3,167.86 = 879.22/x
  3. Step 3: Cross multiply
    2,112.55x = 3,167.86 × 879.22
  4. Step 4: Simplify right side
    2,112.55x = 2,785,245.87
  5. Step 5: Solve for x
    x = 2,785,245.87/2,112.55
  6. Step 6: Final answer
    x = 1,318.43

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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.