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Finding the Fourth Proportional to 17.25, 25.74 and 15.96

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Solution

The fourth proportional to 17.25, 25.74 and 15.96 is: 23.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.25 : 25.74 = 15.96 : x
  2. Step 2: Convert to fraction form
    17.25/25.74 = 15.96/x
  3. Step 3: Cross multiply
    17.25x = 25.74 × 15.96
  4. Step 4: Simplify right side
    17.25x = 410.81
  5. Step 5: Solve for x
    x = 410.81/17.25
  6. Step 6: Final answer
    x = 23.82

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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.