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Finding the Fourth Proportional to 24.38, 36.57 and 11.54

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Solution

The fourth proportional to 24.38, 36.57 and 11.54 is: 17.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.38 : 36.57 = 11.54 : x
  2. Step 2: Convert to fraction form
    24.38/36.57 = 11.54/x
  3. Step 3: Cross multiply
    24.38x = 36.57 × 11.54
  4. Step 4: Simplify right side
    24.38x = 422.02
  5. Step 5: Solve for x
    x = 422.02/24.38
  6. Step 6: Final answer
    x = 17.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.