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Finding the Fourth Proportional to 17.86, 24.74 and 16.42

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Solution

The fourth proportional to 17.86, 24.74 and 16.42 is: 22.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.86 : 24.74 = 16.42 : x
  2. Step 2: Convert to fraction form
    17.86/24.74 = 16.42/x
  3. Step 3: Cross multiply
    17.86x = 24.74 × 16.42
  4. Step 4: Simplify right side
    17.86x = 406.06
  5. Step 5: Solve for x
    x = 406.06/17.86
  6. Step 6: Final answer
    x = 22.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.