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Finding the Fourth Proportional to 2,871.74, 3,968.44 and 2,446.31

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Solution

The fourth proportional to 2,871.74, 3,968.44 and 2,446.31 is: 3,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.74 : 3,968.44 = 2,446.31 : x
  2. Step 2: Convert to fraction form
    2,871.74/3,968.44 = 2,446.31/x
  3. Step 3: Cross multiply
    2,871.74x = 3,968.44 × 2,446.31
  4. Step 4: Simplify right side
    2,871.74x = 9,708,034.46
  5. Step 5: Solve for x
    x = 9,708,034.46/2,871.74
  6. Step 6: Final answer
    x = 3,380.54

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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.