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Finding the Fourth Proportional to 3,902.22, 5,850.09 and 1,821.15

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Solution

The fourth proportional to 3,902.22, 5,850.09 and 1,821.15 is: 2,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.22 : 5,850.09 = 1,821.15 : x
  2. Step 2: Convert to fraction form
    3,902.22/5,850.09 = 1,821.15/x
  3. Step 3: Cross multiply
    3,902.22x = 5,850.09 × 1,821.15
  4. Step 4: Simplify right side
    3,902.22x = 10,653,891.40
  5. Step 5: Solve for x
    x = 10,653,891.40/3,902.22
  6. Step 6: Final answer
    x = 2,730.21

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1.5x scale

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.