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Finding the Fourth Proportional to 19.40, 29.12 and 11.82

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Solution

The fourth proportional to 19.40, 29.12 and 11.82 is: 17.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.40 : 29.12 = 11.82 : x
  2. Step 2: Convert to fraction form
    19.40/29.12 = 11.82/x
  3. Step 3: Cross multiply
    19.40x = 29.12 × 11.82
  4. Step 4: Simplify right side
    19.40x = 344.14
  5. Step 5: Solve for x
    x = 344.14/19.40
  6. Step 6: Final answer
    x = 17.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.