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Finding the Fourth Proportional to 13.72, 18.96 and 11.44

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Solution

The fourth proportional to 13.72, 18.96 and 11.44 is: 15.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.72 : 18.96 = 11.44 : x
  2. Step 2: Convert to fraction form
    13.72/18.96 = 11.44/x
  3. Step 3: Cross multiply
    13.72x = 18.96 × 11.44
  4. Step 4: Simplify right side
    13.72x = 216.90
  5. Step 5: Solve for x
    x = 216.90/13.72
  6. Step 6: Final answer
    x = 15.81

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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.