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Finding the Fourth Proportional to 19.85, 29.78 and 12.24

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Solution

The fourth proportional to 19.85, 29.78 and 12.24 is: 18.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.85 : 29.78 = 12.24 : x
  2. Step 2: Convert to fraction form
    19.85/29.78 = 12.24/x
  3. Step 3: Cross multiply
    19.85x = 29.78 × 12.24
  4. Step 4: Simplify right side
    19.85x = 364.45
  5. Step 5: Solve for x
    x = 364.45/19.85
  6. Step 6: Final answer
    x = 18.36

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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.