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Finding the Fourth Proportional to 2,311.62, 3,472.20 and 2,211.81

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Solution

The fourth proportional to 2,311.62, 3,472.20 and 2,211.81 is: 3,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.62 : 3,472.20 = 2,211.81 : x
  2. Step 2: Convert to fraction form
    2,311.62/3,472.20 = 2,211.81/x
  3. Step 3: Cross multiply
    2,311.62x = 3,472.20 × 2,211.81
  4. Step 4: Simplify right side
    2,311.62x = 7,679,846.68
  5. Step 5: Solve for x
    x = 7,679,846.68/2,311.62
  6. Step 6: Final answer
    x = 3,322.28

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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.