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Finding the Fourth Proportional to 11,761.67, 16,231.12 and 6,982.57

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Solution

The fourth proportional to 11,761.67, 16,231.12 and 6,982.57 is: 9,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.67 : 16,231.12 = 6,982.57 : x
  2. Step 2: Convert to fraction form
    11,761.67/16,231.12 = 6,982.57/x
  3. Step 3: Cross multiply
    11,761.67x = 16,231.12 × 6,982.57
  4. Step 4: Simplify right side
    11,761.67x = 113,334,899.73
  5. Step 5: Solve for x
    x = 113,334,899.73/11,761.67
  6. Step 6: Final answer
    x = 9,635.96

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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.