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Finding the Fourth Proportional to 3,187.78, 4,781.63 and 879.22

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Solution

The fourth proportional to 3,187.78, 4,781.63 and 879.22 is: 1,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.78 : 4,781.63 = 879.22 : x
  2. Step 2: Convert to fraction form
    3,187.78/4,781.63 = 879.22/x
  3. Step 3: Cross multiply
    3,187.78x = 4,781.63 × 879.22
  4. Step 4: Simplify right side
    3,187.78x = 4,204,104.73
  5. Step 5: Solve for x
    x = 4,204,104.73/3,187.78
  6. Step 6: Final answer
    x = 1,318.82

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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.