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Finding the Fourth Proportional to 3,902.31, 5,850.18 and 1,821.22

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Solution

The fourth proportional to 3,902.31, 5,850.18 and 1,821.22 is: 2,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.31 : 5,850.18 = 1,821.22 : x
  2. Step 2: Convert to fraction form
    3,902.31/5,850.18 = 1,821.22/x
  3. Step 3: Cross multiply
    3,902.31x = 5,850.18 × 1,821.22
  4. Step 4: Simplify right side
    3,902.31x = 10,654,450.19
  5. Step 5: Solve for x
    x = 10,654,450.19/3,902.31
  6. Step 6: Final answer
    x = 2,730.29

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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.