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Finding the Fourth Proportional to 11.84, 17.72 and 7.81

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Solution

The fourth proportional to 11.84, 17.72 and 7.81 is: 11.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.84 : 17.72 = 7.81 : x
  2. Step 2: Convert to fraction form
    11.84/17.72 = 7.81/x
  3. Step 3: Cross multiply
    11.84x = 17.72 × 7.81
  4. Step 4: Simplify right side
    11.84x = 138.40
  5. Step 5: Solve for x
    x = 138.40/11.84
  6. Step 6: Final answer
    x = 11.69

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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.