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Finding the Fourth Proportional to 3,224, 4,449.26 and 1,879.58

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Solution

The fourth proportional to 3,224, 4,449.26 and 1,879.58 is: 2,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224 : 4,449.26 = 1,879.58 : x
  2. Step 2: Convert to fraction form
    3,224/4,449.26 = 1,879.58/x
  3. Step 3: Cross multiply
    3,224x = 4,449.26 × 1,879.58
  4. Step 4: Simplify right side
    3,224x = 8,362,740.11
  5. Step 5: Solve for x
    x = 8,362,740.11/3,224
  6. Step 6: Final answer
    x = 2,593.90

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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.