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Finding the Fourth Proportional to 3,820.88, 5,729.96 and 1,739.14

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Solution

The fourth proportional to 3,820.88, 5,729.96 and 1,739.14 is: 2,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.88 : 5,729.96 = 1,739.14 : x
  2. Step 2: Convert to fraction form
    3,820.88/5,729.96 = 1,739.14/x
  3. Step 3: Cross multiply
    3,820.88x = 5,729.96 × 1,739.14
  4. Step 4: Simplify right side
    3,820.88x = 9,965,202.63
  5. Step 5: Solve for x
    x = 9,965,202.63/3,820.88
  6. Step 6: Final answer
    x = 2,608.09

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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.