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Finding the Fourth Proportional to 12.05, 16.61 and 9.31

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Solution

The fourth proportional to 12.05, 16.61 and 9.31 is: 12.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.61 = 9.31 : x
  2. Step 2: Convert to fraction form
    12.05/16.61 = 9.31/x
  3. Step 3: Cross multiply
    12.05x = 16.61 × 9.31
  4. Step 4: Simplify right side
    12.05x = 154.64
  5. Step 5: Solve for x
    x = 154.64/12.05
  6. Step 6: Final answer
    x = 12.83

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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.