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Finding the Fourth Proportional to 11.14, 16.78 and 9.82

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Solution

The fourth proportional to 11.14, 16.78 and 9.82 is: 14.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.14 : 16.78 = 9.82 : x
  2. Step 2: Convert to fraction form
    11.14/16.78 = 9.82/x
  3. Step 3: Cross multiply
    11.14x = 16.78 × 9.82
  4. Step 4: Simplify right side
    11.14x = 164.78
  5. Step 5: Solve for x
    x = 164.78/11.14
  6. Step 6: Final answer
    x = 14.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.