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Finding the Fourth Proportional to 12.36, 17.01 and 11.71

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Solution

The fourth proportional to 12.36, 17.01 and 11.71 is: 16.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.36 : 17.01 = 11.71 : x
  2. Step 2: Convert to fraction form
    12.36/17.01 = 11.71/x
  3. Step 3: Cross multiply
    12.36x = 17.01 × 11.71
  4. Step 4: Simplify right side
    12.36x = 199.21
  5. Step 5: Solve for x
    x = 199.21/12.36
  6. Step 6: Final answer
    x = 16.11

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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.