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Finding the Fourth Proportional to 3,764.72, 5,645.04 and 2,099.36

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Solution

The fourth proportional to 3,764.72, 5,645.04 and 2,099.36 is: 3,147.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.72 : 5,645.04 = 2,099.36 : x
  2. Step 2: Convert to fraction form
    3,764.72/5,645.04 = 2,099.36/x
  3. Step 3: Cross multiply
    3,764.72x = 5,645.04 × 2,099.36
  4. Step 4: Simplify right side
    3,764.72x = 11,850,971.17
  5. Step 5: Solve for x
    x = 11,850,971.17/3,764.72
  6. Step 6: Final answer
    x = 3,147.90

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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.