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Finding the Fourth Proportional to 4,571.80, 6,872.10 and 4,226.20

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Solution

The fourth proportional to 4,571.80, 6,872.10 and 4,226.20 is: 6,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.80 : 6,872.10 = 4,226.20 : x
  2. Step 2: Convert to fraction form
    4,571.80/6,872.10 = 4,226.20/x
  3. Step 3: Cross multiply
    4,571.80x = 6,872.10 × 4,226.20
  4. Step 4: Simplify right side
    4,571.80x = 29,042,869.02
  5. Step 5: Solve for x
    x = 29,042,869.02/4,571.80
  6. Step 6: Final answer
    x = 6,352.61

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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.