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Finding the Fourth Proportional to 14, 21.08 and 11.78

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Solution

The fourth proportional to 14, 21.08 and 11.78 is: 17.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 21.08 = 11.78 : x
  2. Step 2: Convert to fraction form
    14/21.08 = 11.78/x
  3. Step 3: Cross multiply
    14x = 21.08 × 11.78
  4. Step 4: Simplify right side
    14x = 248.32
  5. Step 5: Solve for x
    x = 248.32/14
  6. Step 6: Final answer
    x = 17.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.