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Finding the Fourth Proportional to 17.20, 23.71 and 12.36

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Solution

The fourth proportional to 17.20, 23.71 and 12.36 is: 17.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.20 : 23.71 = 12.36 : x
  2. Step 2: Convert to fraction form
    17.20/23.71 = 12.36/x
  3. Step 3: Cross multiply
    17.20x = 23.71 × 12.36
  4. Step 4: Simplify right side
    17.20x = 293.06
  5. Step 5: Solve for x
    x = 293.06/17.20
  6. Step 6: Final answer
    x = 17.04

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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.