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Finding the Fourth Proportional to 16.96, 23.38 and 13.72

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Solution

The fourth proportional to 16.96, 23.38 and 13.72 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.96 : 23.38 = 13.72 : x
  2. Step 2: Convert to fraction form
    16.96/23.38 = 13.72/x
  3. Step 3: Cross multiply
    16.96x = 23.38 × 13.72
  4. Step 4: Simplify right side
    16.96x = 320.77
  5. Step 5: Solve for x
    x = 320.77/16.96
  6. Step 6: Final answer
    x = 18.91

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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.