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Finding the Fourth Proportional to 12.69, 18.97 and 10.80

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Solution

The fourth proportional to 12.69, 18.97 and 10.80 is: 16.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.69 : 18.97 = 10.80 : x
  2. Step 2: Convert to fraction form
    12.69/18.97 = 10.80/x
  3. Step 3: Cross multiply
    12.69x = 18.97 × 10.80
  4. Step 4: Simplify right side
    12.69x = 204.85
  5. Step 5: Solve for x
    x = 204.85/12.69
  6. Step 6: Final answer
    x = 16.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.