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Finding the Fourth Proportional to 7.99, 12.00 and 6.41

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Solution

The fourth proportional to 7.99, 12.00 and 6.41 is: 9.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.99 : 12.00 = 6.41 : x
  2. Step 2: Convert to fraction form
    7.99/12.00 = 6.41/x
  3. Step 3: Cross multiply
    7.99x = 12.00 × 6.41
  4. Step 4: Simplify right side
    7.99x = 76.86
  5. Step 5: Solve for x
    x = 76.86/7.99
  6. Step 6: Final answer
    x = 9.62

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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.