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Finding the Fourth Proportional to 3,790.46, 5,684.42 and 1,449.92

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Solution

The fourth proportional to 3,790.46, 5,684.42 and 1,449.92 is: 2,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.46 : 5,684.42 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    3,790.46/5,684.42 = 1,449.92/x
  3. Step 3: Cross multiply
    3,790.46x = 5,684.42 × 1,449.92
  4. Step 4: Simplify right side
    3,790.46x = 8,241,954.25
  5. Step 5: Solve for x
    x = 8,241,954.25/3,790.46
  6. Step 6: Final answer
    x = 2,174.39

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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.