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Finding the Fourth Proportional to 2,201.52, 3,301.73 and 641.19

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Solution

The fourth proportional to 2,201.52, 3,301.73 and 641.19 is: 961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.52 : 3,301.73 = 641.19 : x
  2. Step 2: Convert to fraction form
    2,201.52/3,301.73 = 641.19/x
  3. Step 3: Cross multiply
    2,201.52x = 3,301.73 × 641.19
  4. Step 4: Simplify right side
    2,201.52x = 2,117,037.86
  5. Step 5: Solve for x
    x = 2,117,037.86/2,201.52
  6. Step 6: Final answer
    x = 961.63

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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.