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Finding the Fourth Proportional to 11.91, 16.31 and 11.84

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Solution

The fourth proportional to 11.91, 16.31 and 11.84 is: 16.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.91 : 16.31 = 11.84 : x
  2. Step 2: Convert to fraction form
    11.91/16.31 = 11.84/x
  3. Step 3: Cross multiply
    11.91x = 16.31 × 11.84
  4. Step 4: Simplify right side
    11.91x = 193.11
  5. Step 5: Solve for x
    x = 193.11/11.91
  6. Step 6: Final answer
    x = 16.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.