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Finding the Fourth Proportional to 8, 10.98 and 7.82

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Solution

The fourth proportional to 8, 10.98 and 7.82 is: 10.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8 : 10.98 = 7.82 : x
  2. Step 2: Convert to fraction form
    8/10.98 = 7.82/x
  3. Step 3: Cross multiply
    8x = 10.98 × 7.82
  4. Step 4: Simplify right side
    8x = 85.86
  5. Step 5: Solve for x
    x = 85.86/8
  6. Step 6: Final answer
    x = 10.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.