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Finding the Fourth Proportional to 17.24, 23.80 and 9.97

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Solution

The fourth proportional to 17.24, 23.80 and 9.97 is: 13.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.24 : 23.80 = 9.97 : x
  2. Step 2: Convert to fraction form
    17.24/23.80 = 9.97/x
  3. Step 3: Cross multiply
    17.24x = 23.80 × 9.97
  4. Step 4: Simplify right side
    17.24x = 237.12
  5. Step 5: Solve for x
    x = 237.12/17.24
  6. Step 6: Final answer
    x = 13.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.