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Finding the Fourth Proportional to 7.88, 11.76 and 7.82

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Solution

The fourth proportional to 7.88, 11.76 and 7.82 is: 11.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.88 : 11.76 = 7.82 : x
  2. Step 2: Convert to fraction form
    7.88/11.76 = 7.82/x
  3. Step 3: Cross multiply
    7.88x = 11.76 × 7.82
  4. Step 4: Simplify right side
    7.88x = 92.01
  5. Step 5: Solve for x
    x = 92.01/7.88
  6. Step 6: Final answer
    x = 11.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.