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Finding the Fourth Proportional to 11.72, 16.17 and 6.86

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Solution

The fourth proportional to 11.72, 16.17 and 6.86 is: 9.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.72 : 16.17 = 6.86 : x
  2. Step 2: Convert to fraction form
    11.72/16.17 = 6.86/x
  3. Step 3: Cross multiply
    11.72x = 16.17 × 6.86
  4. Step 4: Simplify right side
    11.72x = 110.89
  5. Step 5: Solve for x
    x = 110.89/11.72
  6. Step 6: Final answer
    x = 9.47

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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.