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Finding the Fourth Proportional to 11.52, 15.86 and 9.98

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Solution

The fourth proportional to 11.52, 15.86 and 9.98 is: 13.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.52 : 15.86 = 9.98 : x
  2. Step 2: Convert to fraction form
    11.52/15.86 = 9.98/x
  3. Step 3: Cross multiply
    11.52x = 15.86 × 9.98
  4. Step 4: Simplify right side
    11.52x = 158.15
  5. Step 5: Solve for x
    x = 158.15/11.52
  6. Step 6: Final answer
    x = 13.73

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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.