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Finding the Fourth Proportional to 9.56, 13.22 and 8.20

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Solution

The fourth proportional to 9.56, 13.22 and 8.20 is: 11.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.56 : 13.22 = 8.20 : x
  2. Step 2: Convert to fraction form
    9.56/13.22 = 8.20/x
  3. Step 3: Cross multiply
    9.56x = 13.22 × 8.20
  4. Step 4: Simplify right side
    9.56x = 108.40
  5. Step 5: Solve for x
    x = 108.40/9.56
  6. Step 6: Final answer
    x = 11.34

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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.