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Finding the Fourth Proportional to 23.82, 32.90 and 16.92

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Solution

The fourth proportional to 23.82, 32.90 and 16.92 is: 23.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.82 : 32.90 = 16.92 : x
  2. Step 2: Convert to fraction form
    23.82/32.90 = 16.92/x
  3. Step 3: Cross multiply
    23.82x = 32.90 × 16.92
  4. Step 4: Simplify right side
    23.82x = 556.58
  5. Step 5: Solve for x
    x = 556.58/23.82
  6. Step 6: Final answer
    x = 23.37

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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.