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Finding the Fourth Proportional to 6.63, 9.92 and 5.12

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Solution

The fourth proportional to 6.63, 9.92 and 5.12 is: 7.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.63 : 9.92 = 5.12 : x
  2. Step 2: Convert to fraction form
    6.63/9.92 = 5.12/x
  3. Step 3: Cross multiply
    6.63x = 9.92 × 5.12
  4. Step 4: Simplify right side
    6.63x = 50.72
  5. Step 5: Solve for x
    x = 50.72/6.63
  6. Step 6: Final answer
    x = 7.65

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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.