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Finding the Fourth Proportional to 7.74, 11.59 and 7.22

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Solution

The fourth proportional to 7.74, 11.59 and 7.22 is: 10.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.74 : 11.59 = 7.22 : x
  2. Step 2: Convert to fraction form
    7.74/11.59 = 7.22/x
  3. Step 3: Cross multiply
    7.74x = 11.59 × 7.22
  4. Step 4: Simplify right side
    7.74x = 83.69
  5. Step 5: Solve for x
    x = 83.69/7.74
  6. Step 6: Final answer
    x = 10.81

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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.