Home / 3,820-5,731.92-1,481.61

Finding the Fourth Proportional to 3,820, 5,731.92 and 1,481.61

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Solution

The fourth proportional to 3,820, 5,731.92 and 1,481.61 is: 2,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820 : 5,731.92 = 1,481.61 : x
  2. Step 2: Convert to fraction form
    3,820/5,731.92 = 1,481.61/x
  3. Step 3: Cross multiply
    3,820x = 5,731.92 × 1,481.61
  4. Step 4: Simplify right side
    3,820x = 8,492,469.99
  5. Step 5: Solve for x
    x = 8,492,469.99/3,820
  6. Step 6: Final answer
    x = 2,223.16

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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.