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Finding the Fourth Proportional to 2,617.73, 3,608.73 and 1,871.42

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Solution

The fourth proportional to 2,617.73, 3,608.73 and 1,871.42 is: 2,579.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.73 : 3,608.73 = 1,871.42 : x
  2. Step 2: Convert to fraction form
    2,617.73/3,608.73 = 1,871.42/x
  3. Step 3: Cross multiply
    2,617.73x = 3,608.73 × 1,871.42
  4. Step 4: Simplify right side
    2,617.73x = 6,753,422.10
  5. Step 5: Solve for x
    x = 6,753,422.10/2,617.73
  6. Step 6: Final answer
    x = 2,579.88

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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.