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Finding the Fourth Proportional to 10,806, 16,213.88 and 6,189

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Solution

The fourth proportional to 10,806, 16,213.88 and 6,189 is: 9,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806 : 16,213.88 = 6,189 : x
  2. Step 2: Convert to fraction form
    10,806/16,213.88 = 6,189/x
  3. Step 3: Cross multiply
    10,806x = 16,213.88 × 6,189
  4. Step 4: Simplify right side
    10,806x = 100,347,703.32
  5. Step 5: Solve for x
    x = 100,347,703.32/10,806
  6. Step 6: Final answer
    x = 9,286.29

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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.