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Finding the Fourth Proportional to 3,921.03, 5,881.75 and 1,729.78

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Solution

The fourth proportional to 3,921.03, 5,881.75 and 1,729.78 is: 2,594.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.03 : 5,881.75 = 1,729.78 : x
  2. Step 2: Convert to fraction form
    3,921.03/5,881.75 = 1,729.78/x
  3. Step 3: Cross multiply
    3,921.03x = 5,881.75 × 1,729.78
  4. Step 4: Simplify right side
    3,921.03x = 10,174,114.49
  5. Step 5: Solve for x
    x = 10,174,114.49/3,921.03
  6. Step 6: Final answer
    x = 2,594.76

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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.