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Finding the Fourth Proportional to 3,789.72, 5,679.09 and 1,600.02

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Solution

The fourth proportional to 3,789.72, 5,679.09 and 1,600.02 is: 2,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.72 : 5,679.09 = 1,600.02 : x
  2. Step 2: Convert to fraction form
    3,789.72/5,679.09 = 1,600.02/x
  3. Step 3: Cross multiply
    3,789.72x = 5,679.09 × 1,600.02
  4. Step 4: Simplify right side
    3,789.72x = 9,086,657.58
  5. Step 5: Solve for x
    x = 9,086,657.58/3,789.72
  6. Step 6: Final answer
    x = 2,397.71

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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.