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Finding the Fourth Proportional to 21.38, 31.94 and 17.96

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Solution

The fourth proportional to 21.38, 31.94 and 17.96 is: 26.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.38 : 31.94 = 17.96 : x
  2. Step 2: Convert to fraction form
    21.38/31.94 = 17.96/x
  3. Step 3: Cross multiply
    21.38x = 31.94 × 17.96
  4. Step 4: Simplify right side
    21.38x = 573.39
  5. Step 5: Solve for x
    x = 573.39/21.38
  6. Step 6: Final answer
    x = 26.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.