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Finding the Fourth Proportional to 3,229.72, 4,845.40 and 921.22

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Solution

The fourth proportional to 3,229.72, 4,845.40 and 921.22 is: 1,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.72 : 4,845.40 = 921.22 : x
  2. Step 2: Convert to fraction form
    3,229.72/4,845.40 = 921.22/x
  3. Step 3: Cross multiply
    3,229.72x = 4,845.40 × 921.22
  4. Step 4: Simplify right side
    3,229.72x = 4,463,679.39
  5. Step 5: Solve for x
    x = 4,463,679.39/3,229.72
  6. Step 6: Final answer
    x = 1,382.06

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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.