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Finding the Fourth Proportional to 6,806.28, 10,209.48 and 2,189.28

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Solution

The fourth proportional to 6,806.28, 10,209.48 and 2,189.28 is: 3,283.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.28 : 10,209.48 = 2,189.28 : x
  2. Step 2: Convert to fraction form
    6,806.28/10,209.48 = 2,189.28/x
  3. Step 3: Cross multiply
    6,806.28x = 10,209.48 × 2,189.28
  4. Step 4: Simplify right side
    6,806.28x = 22,351,410.37
  5. Step 5: Solve for x
    x = 22,351,410.37/6,806.28
  6. Step 6: Final answer
    x = 3,283.94

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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.