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Finding the Fourth Proportional to 12.05, 16.64 and 7.74

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Solution

The fourth proportional to 12.05, 16.64 and 7.74 is: 10.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 16.64 = 7.74 : x
  2. Step 2: Convert to fraction form
    12.05/16.64 = 7.74/x
  3. Step 3: Cross multiply
    12.05x = 16.64 × 7.74
  4. Step 4: Simplify right side
    12.05x = 128.79
  5. Step 5: Solve for x
    x = 128.79/12.05
  6. Step 6: Final answer
    x = 10.69

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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.