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Finding the Fourth Proportional to 19.26, 28.78 and 13.24

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Solution

The fourth proportional to 19.26, 28.78 and 13.24 is: 19.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.26 : 28.78 = 13.24 : x
  2. Step 2: Convert to fraction form
    19.26/28.78 = 13.24/x
  3. Step 3: Cross multiply
    19.26x = 28.78 × 13.24
  4. Step 4: Simplify right side
    19.26x = 381.05
  5. Step 5: Solve for x
    x = 381.05/19.26
  6. Step 6: Final answer
    x = 19.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.