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Finding the Fourth Proportional to 2,876.31, 3,969.17 and 1,617.42

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Solution

The fourth proportional to 2,876.31, 3,969.17 and 1,617.42 is: 2,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.31 : 3,969.17 = 1,617.42 : x
  2. Step 2: Convert to fraction form
    2,876.31/3,969.17 = 1,617.42/x
  3. Step 3: Cross multiply
    2,876.31x = 3,969.17 × 1,617.42
  4. Step 4: Simplify right side
    2,876.31x = 6,419,806.85
  5. Step 5: Solve for x
    x = 6,419,806.85/2,876.31
  6. Step 6: Final answer
    x = 2,231.96

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1.5x scale

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.