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Finding the Fourth Proportional to 3,229.72, 4,844.69 and 889.91

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Solution

The fourth proportional to 3,229.72, 4,844.69 and 889.91 is: 1,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.72 : 4,844.69 = 889.91 : x
  2. Step 2: Convert to fraction form
    3,229.72/4,844.69 = 889.91/x
  3. Step 3: Cross multiply
    3,229.72x = 4,844.69 × 889.91
  4. Step 4: Simplify right side
    3,229.72x = 4,311,316.08
  5. Step 5: Solve for x
    x = 4,311,316.08/3,229.72
  6. Step 6: Final answer
    x = 1,334.89

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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.