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Finding the Fourth Proportional to 31.16, 43.04 and 23.86

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Solution

The fourth proportional to 31.16, 43.04 and 23.86 is: 32.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.16 : 43.04 = 23.86 : x
  2. Step 2: Convert to fraction form
    31.16/43.04 = 23.86/x
  3. Step 3: Cross multiply
    31.16x = 43.04 × 23.86
  4. Step 4: Simplify right side
    31.16x = 1,026.93
  5. Step 5: Solve for x
    x = 1,026.93/31.16
  6. Step 6: Final answer
    x = 32.96

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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.