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Finding the Fourth Proportional to 3,801.68, 5,692.88 and 3,183.84

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Solution

The fourth proportional to 3,801.68, 5,692.88 and 3,183.84 is: 4,767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.68 : 5,692.88 = 3,183.84 : x
  2. Step 2: Convert to fraction form
    3,801.68/5,692.88 = 3,183.84/x
  3. Step 3: Cross multiply
    3,801.68x = 5,692.88 × 3,183.84
  4. Step 4: Simplify right side
    3,801.68x = 18,125,219.06
  5. Step 5: Solve for x
    x = 18,125,219.06/3,801.68
  6. Step 6: Final answer
    x = 4,767.69

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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.