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Finding the Fourth Proportional to 3,816.70, 5,720.04 and 2,766.04

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Solution

The fourth proportional to 3,816.70, 5,720.04 and 2,766.04 is: 4,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.70 : 5,720.04 = 2,766.04 : x
  2. Step 2: Convert to fraction form
    3,816.70/5,720.04 = 2,766.04/x
  3. Step 3: Cross multiply
    3,816.70x = 5,720.04 × 2,766.04
  4. Step 4: Simplify right side
    3,816.70x = 15,821,859.44
  5. Step 5: Solve for x
    x = 15,821,859.44/3,816.70
  6. Step 6: Final answer
    x = 4,145.43

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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.