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Finding the Fourth Proportional to 3,553, 5,330.27 and 1,361.73

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Solution

The fourth proportional to 3,553, 5,330.27 and 1,361.73 is: 2,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553 : 5,330.27 = 1,361.73 : x
  2. Step 2: Convert to fraction form
    3,553/5,330.27 = 1,361.73/x
  3. Step 3: Cross multiply
    3,553x = 5,330.27 × 1,361.73
  4. Step 4: Simplify right side
    3,553x = 7,258,388.57
  5. Step 5: Solve for x
    x = 7,258,388.57/3,553
  6. Step 6: Final answer
    x = 2,042.89

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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.