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Finding the Fourth Proportional to 36.54, 54.61 and 31.78

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Solution

The fourth proportional to 36.54, 54.61 and 31.78 is: 47.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.54 : 54.61 = 31.78 : x
  2. Step 2: Convert to fraction form
    36.54/54.61 = 31.78/x
  3. Step 3: Cross multiply
    36.54x = 54.61 × 31.78
  4. Step 4: Simplify right side
    36.54x = 1,735.51
  5. Step 5: Solve for x
    x = 1,735.51/36.54
  6. Step 6: Final answer
    x = 47.50

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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.