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Finding the Fourth Proportional to 2,112.60, 3,168.84 and 879.24

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Solution

The fourth proportional to 2,112.60, 3,168.84 and 879.24 is: 1,318.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.60 : 3,168.84 = 879.24 : x
  2. Step 2: Convert to fraction form
    2,112.60/3,168.84 = 879.24/x
  3. Step 3: Cross multiply
    2,112.60x = 3,168.84 × 879.24
  4. Step 4: Simplify right side
    2,112.60x = 2,786,170.88
  5. Step 5: Solve for x
    x = 2,786,170.88/2,112.60
  6. Step 6: Final answer
    x = 1,318.84

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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.