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Finding the Fourth Proportional to 13.27, 19.87 and 7.85

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Solution

The fourth proportional to 13.27, 19.87 and 7.85 is: 11.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.27 : 19.87 = 7.85 : x
  2. Step 2: Convert to fraction form
    13.27/19.87 = 7.85/x
  3. Step 3: Cross multiply
    13.27x = 19.87 × 7.85
  4. Step 4: Simplify right side
    13.27x = 155.98
  5. Step 5: Solve for x
    x = 155.98/13.27
  6. Step 6: Final answer
    x = 11.75

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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.