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Finding the Fourth Proportional to 15.21, 20.96 and 9.74

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Solution

The fourth proportional to 15.21, 20.96 and 9.74 is: 13.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.21 : 20.96 = 9.74 : x
  2. Step 2: Convert to fraction form
    15.21/20.96 = 9.74/x
  3. Step 3: Cross multiply
    15.21x = 20.96 × 9.74
  4. Step 4: Simplify right side
    15.21x = 204.05
  5. Step 5: Solve for x
    x = 204.05/15.21
  6. Step 6: Final answer
    x = 13.42

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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.