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Finding the Fourth Proportional to 3,855.84, 5,785.58 and 3,793.65

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Solution

The fourth proportional to 3,855.84, 5,785.58 and 3,793.65 is: 5,692.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.84 : 5,785.58 = 3,793.65 : x
  2. Step 2: Convert to fraction form
    3,855.84/5,785.58 = 3,793.65/x
  3. Step 3: Cross multiply
    3,855.84x = 5,785.58 × 3,793.65
  4. Step 4: Simplify right side
    3,855.84x = 21,948,464.16
  5. Step 5: Solve for x
    x = 21,948,464.16/3,855.84
  6. Step 6: Final answer
    x = 5,692.26

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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.