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Finding the Fourth Proportional to 3,480.24, 5,213.82 and 1,723.20

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Solution

The fourth proportional to 3,480.24, 5,213.82 and 1,723.20 is: 2,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.24 : 5,213.82 = 1,723.20 : x
  2. Step 2: Convert to fraction form
    3,480.24/5,213.82 = 1,723.20/x
  3. Step 3: Cross multiply
    3,480.24x = 5,213.82 × 1,723.20
  4. Step 4: Simplify right side
    3,480.24x = 8,984,454.62
  5. Step 5: Solve for x
    x = 8,984,454.62/3,480.24
  6. Step 6: Final answer
    x = 2,581.56

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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.