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Finding the Fourth Proportional to 31.27, 46.91 and 13.22

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Solution

The fourth proportional to 31.27, 46.91 and 13.22 is: 19.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.27 : 46.91 = 13.22 : x
  2. Step 2: Convert to fraction form
    31.27/46.91 = 13.22/x
  3. Step 3: Cross multiply
    31.27x = 46.91 × 13.22
  4. Step 4: Simplify right side
    31.27x = 620.15
  5. Step 5: Solve for x
    x = 620.15/31.27
  6. Step 6: Final answer
    x = 19.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.