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Finding the Fourth Proportional to 3,722.76, 5,122.26 and 3,223.80

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Solution

The fourth proportional to 3,722.76, 5,122.26 and 3,223.80 is: 4,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.76 : 5,122.26 = 3,223.80 : x
  2. Step 2: Convert to fraction form
    3,722.76/5,122.26 = 3,223.80/x
  3. Step 3: Cross multiply
    3,722.76x = 5,122.26 × 3,223.80
  4. Step 4: Simplify right side
    3,722.76x = 16,513,141.79
  5. Step 5: Solve for x
    x = 16,513,141.79/3,722.76
  6. Step 6: Final answer
    x = 4,435.73

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1.5x scale

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.