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Finding the Fourth Proportional to 11.22, 16.85 and 7.85

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Solution

The fourth proportional to 11.22, 16.85 and 7.85 is: 11.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.22 : 16.85 = 7.85 : x
  2. Step 2: Convert to fraction form
    11.22/16.85 = 7.85/x
  3. Step 3: Cross multiply
    11.22x = 16.85 × 7.85
  4. Step 4: Simplify right side
    11.22x = 132.28
  5. Step 5: Solve for x
    x = 132.28/11.22
  6. Step 6: Final answer
    x = 11.79

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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.