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Finding the Fourth Proportional to 3,767.62, 5,651.37 and 918.13

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Solution

The fourth proportional to 3,767.62, 5,651.37 and 918.13 is: 1,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.62 : 5,651.37 = 918.13 : x
  2. Step 2: Convert to fraction form
    3,767.62/5,651.37 = 918.13/x
  3. Step 3: Cross multiply
    3,767.62x = 5,651.37 × 918.13
  4. Step 4: Simplify right side
    3,767.62x = 5,188,704.73
  5. Step 5: Solve for x
    x = 5,188,704.73/3,767.62
  6. Step 6: Final answer
    x = 1,377.18

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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.