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Finding the Fourth Proportional to 12.17, 16.81 and 11.02

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Solution

The fourth proportional to 12.17, 16.81 and 11.02 is: 15.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.17 : 16.81 = 11.02 : x
  2. Step 2: Convert to fraction form
    12.17/16.81 = 11.02/x
  3. Step 3: Cross multiply
    12.17x = 16.81 × 11.02
  4. Step 4: Simplify right side
    12.17x = 185.21
  5. Step 5: Solve for x
    x = 185.21/12.17
  6. Step 6: Final answer
    x = 15.22

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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.