Home / 3,224-4,834.22-1,002.22

Finding the Fourth Proportional to 3,224, 4,834.22 and 1,002.22

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Solution

The fourth proportional to 3,224, 4,834.22 and 1,002.22 is: 1,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224 : 4,834.22 = 1,002.22 : x
  2. Step 2: Convert to fraction form
    3,224/4,834.22 = 1,002.22/x
  3. Step 3: Cross multiply
    3,224x = 4,834.22 × 1,002.22
  4. Step 4: Simplify right side
    3,224x = 4,844,951.97
  5. Step 5: Solve for x
    x = 4,844,951.97/3,224
  6. Step 6: Final answer
    x = 1,502.78

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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.