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Finding the Fourth Proportional to 2,201.33, 3,302.51 and 641.39

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Solution

The fourth proportional to 2,201.33, 3,302.51 and 641.39 is: 962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.33 : 3,302.51 = 641.39 : x
  2. Step 2: Convert to fraction form
    2,201.33/3,302.51 = 641.39/x
  3. Step 3: Cross multiply
    2,201.33x = 3,302.51 × 641.39
  4. Step 4: Simplify right side
    2,201.33x = 2,118,177.17
  5. Step 5: Solve for x
    x = 2,118,177.17/2,201.33
  6. Step 6: Final answer
    x = 962.23

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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.