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Finding the Fourth Proportional to 6,806, 10,203.60 and 3,519.56

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Solution

The fourth proportional to 6,806, 10,203.60 and 3,519.56 is: 5,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806 : 10,203.60 = 3,519.56 : x
  2. Step 2: Convert to fraction form
    6,806/10,203.60 = 3,519.56/x
  3. Step 3: Cross multiply
    6,806x = 10,203.60 × 3,519.56
  4. Step 4: Simplify right side
    6,806x = 35,912,182.42
  5. Step 5: Solve for x
    x = 35,912,182.42/6,806
  6. Step 6: Final answer
    x = 5,276.55

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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.