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Finding the Fourth Proportional to 3,211.96, 4,817.94 and 1,843

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Solution

The fourth proportional to 3,211.96, 4,817.94 and 1,843 is: 2,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.96 : 4,817.94 = 1,843 : x
  2. Step 2: Convert to fraction form
    3,211.96/4,817.94 = 1,843/x
  3. Step 3: Cross multiply
    3,211.96x = 4,817.94 × 1,843
  4. Step 4: Simplify right side
    3,211.96x = 8,879,463.42
  5. Step 5: Solve for x
    x = 8,879,463.42/3,211.96
  6. Step 6: Final answer
    x = 2,764.50

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Why These Related Problems?

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