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Finding the Fourth Proportional to 8.12, 11.21 and 4.80

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Solution

The fourth proportional to 8.12, 11.21 and 4.80 is: 6.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.12 : 11.21 = 4.80 : x
  2. Step 2: Convert to fraction form
    8.12/11.21 = 4.80/x
  3. Step 3: Cross multiply
    8.12x = 11.21 × 4.80
  4. Step 4: Simplify right side
    8.12x = 53.77
  5. Step 5: Solve for x
    x = 53.77/8.12
  6. Step 6: Final answer
    x = 6.62

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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.