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Finding the Fourth Proportional to 3,229.87, 4,845.60 and 921.37

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Solution

The fourth proportional to 3,229.87, 4,845.60 and 921.37 is: 1,382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.87 : 4,845.60 = 921.37 : x
  2. Step 2: Convert to fraction form
    3,229.87/4,845.60 = 921.37/x
  3. Step 3: Cross multiply
    3,229.87x = 4,845.60 × 921.37
  4. Step 4: Simplify right side
    3,229.87x = 4,464,566.24
  5. Step 5: Solve for x
    x = 4,464,566.24/3,229.87
  6. Step 6: Final answer
    x = 1,382.28

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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.