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Finding the Fourth Proportional to 12.05, 16.61 and 7.95

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Solution

The fourth proportional to 12.05, 16.61 and 7.95 is: 10.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.61 = 7.95 : x
  2. Step 2: Convert to fraction form
    12.05/16.61 = 7.95/x
  3. Step 3: Cross multiply
    12.05x = 16.61 × 7.95
  4. Step 4: Simplify right side
    12.05x = 132.05
  5. Step 5: Solve for x
    x = 132.05/12.05
  6. Step 6: Final answer
    x = 10.96

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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.