Home / 7,821.82-11,734.80-3,874.24

Finding the Fourth Proportional to 7,821.82, 11,734.80 and 3,874.24

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Solution

The fourth proportional to 7,821.82, 11,734.80 and 3,874.24 is: 5,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.82 : 11,734.80 = 3,874.24 : x
  2. Step 2: Convert to fraction form
    7,821.82/11,734.80 = 3,874.24/x
  3. Step 3: Cross multiply
    7,821.82x = 11,734.80 × 3,874.24
  4. Step 4: Simplify right side
    7,821.82x = 45,463,431.55
  5. Step 5: Solve for x
    x = 45,463,431.55/7,821.82
  6. Step 6: Final answer
    x = 5,812.39

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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.