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Finding the Fourth Proportional to 25.23, 37.86 and 13.82

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Solution

The fourth proportional to 25.23, 37.86 and 13.82 is: 20.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.23 : 37.86 = 13.82 : x
  2. Step 2: Convert to fraction form
    25.23/37.86 = 13.82/x
  3. Step 3: Cross multiply
    25.23x = 37.86 × 13.82
  4. Step 4: Simplify right side
    25.23x = 523.10
  5. Step 5: Solve for x
    x = 523.10/25.23
  6. Step 6: Final answer
    x = 20.73

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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.