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Finding the Fourth Proportional to 6,806, 10,209 and 2,704.88

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Solution

The fourth proportional to 6,806, 10,209 and 2,704.88 is: 4,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 10,209 = 2,704.88 : x
  2. Step 2: Convert to fraction form
    6,806/10,209 = 2,704.88/x
  3. Step 3: Cross multiply
    6,806x = 10,209 × 2,704.88
  4. Step 4: Simplify right side
    6,806x = 27,614,119.92
  5. Step 5: Solve for x
    x = 27,614,119.92/6,806
  6. Step 6: Final answer
    x = 4,057.32

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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.