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Finding the Fourth Proportional to 9,161.92, 13,742.82 and 3,318.52

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Solution

The fourth proportional to 9,161.92, 13,742.82 and 3,318.52 is: 4,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.92 : 13,742.82 = 3,318.52 : x
  2. Step 2: Convert to fraction form
    9,161.92/13,742.82 = 3,318.52/x
  3. Step 3: Cross multiply
    9,161.92x = 13,742.82 × 3,318.52
  4. Step 4: Simplify right side
    9,161.92x = 45,605,823.03
  5. Step 5: Solve for x
    x = 45,605,823.03/9,161.92
  6. Step 6: Final answer
    x = 4,977.76

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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.