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Finding the Fourth Proportional to 14.75, 20.32 and 11.82

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Solution

The fourth proportional to 14.75, 20.32 and 11.82 is: 16.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.75 : 20.32 = 11.82 : x
  2. Step 2: Convert to fraction form
    14.75/20.32 = 11.82/x
  3. Step 3: Cross multiply
    14.75x = 20.32 × 11.82
  4. Step 4: Simplify right side
    14.75x = 240.18
  5. Step 5: Solve for x
    x = 240.18/14.75
  6. Step 6: Final answer
    x = 16.28

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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.