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Finding the Fourth Proportional to 14.67, 20.24 and 9.21

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Solution

The fourth proportional to 14.67, 20.24 and 9.21 is: 12.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.67 : 20.24 = 9.21 : x
  2. Step 2: Convert to fraction form
    14.67/20.24 = 9.21/x
  3. Step 3: Cross multiply
    14.67x = 20.24 × 9.21
  4. Step 4: Simplify right side
    14.67x = 186.41
  5. Step 5: Solve for x
    x = 186.41/14.67
  6. Step 6: Final answer
    x = 12.71

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