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Finding the Fourth Proportional to 3,879.45, 5,353.16 and 3,213.63

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Solution

The fourth proportional to 3,879.45, 5,353.16 and 3,213.63 is: 4,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.45 : 5,353.16 = 3,213.63 : x
  2. Step 2: Convert to fraction form
    3,879.45/5,353.16 = 3,213.63/x
  3. Step 3: Cross multiply
    3,879.45x = 5,353.16 × 3,213.63
  4. Step 4: Simplify right side
    3,879.45x = 17,203,059.50
  5. Step 5: Solve for x
    x = 17,203,059.50/3,879.45
  6. Step 6: Final answer
    x = 4,434.41

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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.