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Finding the Fourth Proportional to 3,226.87, 4,841.10 and 918.37

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Solution

The fourth proportional to 3,226.87, 4,841.10 and 918.37 is: 1,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.87 : 4,841.10 = 918.37 : x
  2. Step 2: Convert to fraction form
    3,226.87/4,841.10 = 918.37/x
  3. Step 3: Cross multiply
    3,226.87x = 4,841.10 × 918.37
  4. Step 4: Simplify right side
    3,226.87x = 4,445,896.80
  5. Step 5: Solve for x
    x = 4,445,896.80/3,226.87
  6. Step 6: Final answer
    x = 1,377.78

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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.