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Finding the Fourth Proportional to 13.98, 20.90 and 9.68

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Solution

The fourth proportional to 13.98, 20.90 and 9.68 is: 14.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.98 : 20.90 = 9.68 : x
  2. Step 2: Convert to fraction form
    13.98/20.90 = 9.68/x
  3. Step 3: Cross multiply
    13.98x = 20.90 × 9.68
  4. Step 4: Simplify right side
    13.98x = 202.32
  5. Step 5: Solve for x
    x = 202.32/13.98
  6. Step 6: Final answer
    x = 14.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.