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Finding the Fourth Proportional to 17.74, 24.51 and 16.54

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Solution

The fourth proportional to 17.74, 24.51 and 16.54 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.74 : 24.51 = 16.54 : x
  2. Step 2: Convert to fraction form
    17.74/24.51 = 16.54/x
  3. Step 3: Cross multiply
    17.74x = 24.51 × 16.54
  4. Step 4: Simplify right side
    17.74x = 405.40
  5. Step 5: Solve for x
    x = 405.40/17.74
  6. Step 6: Final answer
    x = 22.85

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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.