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Finding the Fourth Proportional to 10,805, 16,212.38 and 6,188

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Solution

The fourth proportional to 10,805, 16,212.38 and 6,188 is: 9,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805 : 16,212.38 = 6,188 : x
  2. Step 2: Convert to fraction form
    10,805/16,212.38 = 6,188/x
  3. Step 3: Cross multiply
    10,805x = 16,212.38 × 6,188
  4. Step 4: Simplify right side
    10,805x = 100,322,207.44
  5. Step 5: Solve for x
    x = 100,322,207.44/10,805
  6. Step 6: Final answer
    x = 9,284.79

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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.