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Finding the Fourth Proportional to 2,811.78, 3,881.67 and 2,180.88

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Solution

The fourth proportional to 2,811.78, 3,881.67 and 2,180.88 is: 3,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.78 : 3,881.67 = 2,180.88 : x
  2. Step 2: Convert to fraction form
    2,811.78/3,881.67 = 2,180.88/x
  3. Step 3: Cross multiply
    2,811.78x = 3,881.67 × 2,180.88
  4. Step 4: Simplify right side
    2,811.78x = 8,465,456.47
  5. Step 5: Solve for x
    x = 8,465,456.47/2,811.78
  6. Step 6: Final answer
    x = 3,010.71

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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.