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Finding the Fourth Proportional to 7.88, 11.88 and 7.19

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Solution

The fourth proportional to 7.88, 11.88 and 7.19 is: 10.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.88 : 11.88 = 7.19 : x
  2. Step 2: Convert to fraction form
    7.88/11.88 = 7.19/x
  3. Step 3: Cross multiply
    7.88x = 11.88 × 7.19
  4. Step 4: Simplify right side
    7.88x = 85.36
  5. Step 5: Solve for x
    x = 85.36/7.88
  6. Step 6: Final answer
    x = 10.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.