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Finding the Fourth Proportional to 17.21, 23.75 and 10.74

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Solution

The fourth proportional to 17.21, 23.75 and 10.74 is: 14.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.21 : 23.75 = 10.74 : x
  2. Step 2: Convert to fraction form
    17.21/23.75 = 10.74/x
  3. Step 3: Cross multiply
    17.21x = 23.75 × 10.74
  4. Step 4: Simplify right side
    17.21x = 255.10
  5. Step 5: Solve for x
    x = 255.10/17.21
  6. Step 6: Final answer
    x = 14.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.