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Finding the Fourth Proportional to 3,719.50, 5,571.48 and 2,234.02

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Solution

The fourth proportional to 3,719.50, 5,571.48 and 2,234.02 is: 3,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.50 : 5,571.48 = 2,234.02 : x
  2. Step 2: Convert to fraction form
    3,719.50/5,571.48 = 2,234.02/x
  3. Step 3: Cross multiply
    3,719.50x = 5,571.48 × 2,234.02
  4. Step 4: Simplify right side
    3,719.50x = 12,446,797.75
  5. Step 5: Solve for x
    x = 12,446,797.75/3,719.50
  6. Step 6: Final answer
    x = 3,346.36

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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.