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Finding the Fourth Proportional to 36.11, 53.86 and 31.88

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Solution

The fourth proportional to 36.11, 53.86 and 31.88 is: 47.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.11 : 53.86 = 31.88 : x
  2. Step 2: Convert to fraction form
    36.11/53.86 = 31.88/x
  3. Step 3: Cross multiply
    36.11x = 53.86 × 31.88
  4. Step 4: Simplify right side
    36.11x = 1,717.06
  5. Step 5: Solve for x
    x = 1,717.06/36.11
  6. Step 6: Final answer
    x = 47.55

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Why These Related Problems?

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