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Finding the Fourth Proportional to 14.34, 19.70 and 12.27

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Solution

The fourth proportional to 14.34, 19.70 and 12.27 is: 16.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.34 : 19.70 = 12.27 : x
  2. Step 2: Convert to fraction form
    14.34/19.70 = 12.27/x
  3. Step 3: Cross multiply
    14.34x = 19.70 × 12.27
  4. Step 4: Simplify right side
    14.34x = 241.66
  5. Step 5: Solve for x
    x = 241.66/14.34
  6. Step 6: Final answer
    x = 16.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.