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Finding the Fourth Proportional to 13.20, 19.78 and 9.62

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Solution

The fourth proportional to 13.20, 19.78 and 9.62 is: 14.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.20 : 19.78 = 9.62 : x
  2. Step 2: Convert to fraction form
    13.20/19.78 = 9.62/x
  3. Step 3: Cross multiply
    13.20x = 19.78 × 9.62
  4. Step 4: Simplify right side
    13.20x = 190.28
  5. Step 5: Solve for x
    x = 190.28/13.20
  6. Step 6: Final answer
    x = 14.42

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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.