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Finding the Fourth Proportional to 10.80, 16.20 and 8.16

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Solution

The fourth proportional to 10.80, 16.20 and 8.16 is: 12.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.80 : 16.20 = 8.16 : x
  2. Step 2: Convert to fraction form
    10.80/16.20 = 8.16/x
  3. Step 3: Cross multiply
    10.80x = 16.20 × 8.16
  4. Step 4: Simplify right side
    10.80x = 132.19
  5. Step 5: Solve for x
    x = 132.19/10.80
  6. Step 6: Final answer
    x = 12.24

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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.