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Finding the Fourth Proportional to 34.72, 52.12 and 27.12

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Solution

The fourth proportional to 34.72, 52.12 and 27.12 is: 40.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.72 : 52.12 = 27.12 : x
  2. Step 2: Convert to fraction form
    34.72/52.12 = 27.12/x
  3. Step 3: Cross multiply
    34.72x = 52.12 × 27.12
  4. Step 4: Simplify right side
    34.72x = 1,413.49
  5. Step 5: Solve for x
    x = 1,413.49/34.72
  6. Step 6: Final answer
    x = 40.71

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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.