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Finding the Fourth Proportional to 9.88, 14.82 and 5.12

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Solution

The fourth proportional to 9.88, 14.82 and 5.12 is: 7.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.88 : 14.82 = 5.12 : x
  2. Step 2: Convert to fraction form
    9.88/14.82 = 5.12/x
  3. Step 3: Cross multiply
    9.88x = 14.82 × 5.12
  4. Step 4: Simplify right side
    9.88x = 75.88
  5. Step 5: Solve for x
    x = 75.88/9.88
  6. Step 6: Final answer
    x = 7.68

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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.