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Finding the Fourth Proportional to 3,868.60, 5,794.80 and 2,135.20

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Solution

The fourth proportional to 3,868.60, 5,794.80 and 2,135.20 is: 3,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.60 : 5,794.80 = 2,135.20 : x
  2. Step 2: Convert to fraction form
    3,868.60/5,794.80 = 2,135.20/x
  3. Step 3: Cross multiply
    3,868.60x = 5,794.80 × 2,135.20
  4. Step 4: Simplify right side
    3,868.60x = 12,373,056.96
  5. Step 5: Solve for x
    x = 12,373,056.96/3,868.60
  6. Step 6: Final answer
    x = 3,198.33

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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.