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Finding the Fourth Proportional to 6,871.80, 10,309.05 and 2,489.16

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Solution

The fourth proportional to 6,871.80, 10,309.05 and 2,489.16 is: 3,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.80 : 10,309.05 = 2,489.16 : x
  2. Step 2: Convert to fraction form
    6,871.80/10,309.05 = 2,489.16/x
  3. Step 3: Cross multiply
    6,871.80x = 10,309.05 × 2,489.16
  4. Step 4: Simplify right side
    6,871.80x = 25,660,874.90
  5. Step 5: Solve for x
    x = 25,660,874.90/6,871.80
  6. Step 6: Final answer
    x = 3,734.23

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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.