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Finding the Fourth Proportional to 3,882.87, 5,816.21 and 3,223.13

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Solution

The fourth proportional to 3,882.87, 5,816.21 and 3,223.13 is: 4,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.87 : 5,816.21 = 3,223.13 : x
  2. Step 2: Convert to fraction form
    3,882.87/5,816.21 = 3,223.13/x
  3. Step 3: Cross multiply
    3,882.87x = 5,816.21 × 3,223.13
  4. Step 4: Simplify right side
    3,882.87x = 18,746,355.74
  5. Step 5: Solve for x
    x = 18,746,355.74/3,882.87
  6. Step 6: Final answer
    x = 4,827.96

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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.