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Finding the Fourth Proportional to 11,765.67, 16,229.49 and 6,982.47

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Solution

The fourth proportional to 11,765.67, 16,229.49 and 6,982.47 is: 9,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.67 : 16,229.49 = 6,982.47 : x
  2. Step 2: Convert to fraction form
    11,765.67/16,229.49 = 6,982.47/x
  3. Step 3: Cross multiply
    11,765.67x = 16,229.49 × 6,982.47
  4. Step 4: Simplify right side
    11,765.67x = 113,321,927.04
  5. Step 5: Solve for x
    x = 113,321,927.04/11,765.67
  6. Step 6: Final answer
    x = 9,631.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.