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Finding the Fourth Proportional to 13.52, 20.38 and 13.24

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Solution

The fourth proportional to 13.52, 20.38 and 13.24 is: 19.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.52 : 20.38 = 13.24 : x
  2. Step 2: Convert to fraction form
    13.52/20.38 = 13.24/x
  3. Step 3: Cross multiply
    13.52x = 20.38 × 13.24
  4. Step 4: Simplify right side
    13.52x = 269.83
  5. Step 5: Solve for x
    x = 269.83/13.52
  6. Step 6: Final answer
    x = 19.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.