Home / 3,213.84-4,434-2,035.20

Finding the Fourth Proportional to 3,213.84, 4,434 and 2,035.20

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Solution

The fourth proportional to 3,213.84, 4,434 and 2,035.20 is: 2,807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.84 : 4,434 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    3,213.84/4,434 = 2,035.20/x
  3. Step 3: Cross multiply
    3,213.84x = 4,434 × 2,035.20
  4. Step 4: Simplify right side
    3,213.84x = 9,024,076.80
  5. Step 5: Solve for x
    x = 9,024,076.80/3,213.84
  6. Step 6: Final answer
    x = 2,807.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.