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Finding the Fourth Proportional to 2,112.57, 3,166.16 and 879.39

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Solution

The fourth proportional to 2,112.57, 3,166.16 and 879.39 is: 1,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.57 : 3,166.16 = 879.39 : x
  2. Step 2: Convert to fraction form
    2,112.57/3,166.16 = 879.39/x
  3. Step 3: Cross multiply
    2,112.57x = 3,166.16 × 879.39
  4. Step 4: Simplify right side
    2,112.57x = 2,784,285.05
  5. Step 5: Solve for x
    x = 2,784,285.05/2,112.57
  6. Step 6: Final answer
    x = 1,317.96

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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.