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Finding the Fourth Proportional to 13.20, 18.23 and 9.12

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Solution

The fourth proportional to 13.20, 18.23 and 9.12 is: 12.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.20 : 18.23 = 9.12 : x
  2. Step 2: Convert to fraction form
    13.20/18.23 = 9.12/x
  3. Step 3: Cross multiply
    13.20x = 18.23 × 9.12
  4. Step 4: Simplify right side
    13.20x = 166.21
  5. Step 5: Solve for x
    x = 166.21/13.20
  6. Step 6: Final answer
    x = 12.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.