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Finding the Fourth Proportional to 9.99, 13.82 and 9.90

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Solution

The fourth proportional to 9.99, 13.82 and 9.90 is: 13.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.99 : 13.82 = 9.90 : x
  2. Step 2: Convert to fraction form
    9.99/13.82 = 9.90/x
  3. Step 3: Cross multiply
    9.99x = 13.82 × 9.90
  4. Step 4: Simplify right side
    9.99x = 136.77
  5. Step 5: Solve for x
    x = 136.77/9.99
  6. Step 6: Final answer
    x = 13.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.