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Finding the Fourth Proportional to 3,764.46, 5,645.78 and 1,789.21

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Solution

The fourth proportional to 3,764.46, 5,645.78 and 1,789.21 is: 2,683.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.46 : 5,645.78 = 1,789.21 : x
  2. Step 2: Convert to fraction form
    3,764.46/5,645.78 = 1,789.21/x
  3. Step 3: Cross multiply
    3,764.46x = 5,645.78 × 1,789.21
  4. Step 4: Simplify right side
    3,764.46x = 10,101,486.03
  5. Step 5: Solve for x
    x = 10,101,486.03/3,764.46
  6. Step 6: Final answer
    x = 2,683.38

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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.