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Finding the Fourth Proportional to 9,489.28, 14,233.83 and 3,249.22

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Solution

The fourth proportional to 9,489.28, 14,233.83 and 3,249.22 is: 4,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.28 : 14,233.83 = 3,249.22 : x
  2. Step 2: Convert to fraction form
    9,489.28/14,233.83 = 3,249.22/x
  3. Step 3: Cross multiply
    9,489.28x = 14,233.83 × 3,249.22
  4. Step 4: Simplify right side
    9,489.28x = 46,248,845.11
  5. Step 5: Solve for x
    x = 46,248,845.11/9,489.28
  6. Step 6: Final answer
    x = 4,873.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.