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Finding the Fourth Proportional to 3,790.87, 5,684.36 and 2,845.17

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Solution

The fourth proportional to 3,790.87, 5,684.36 and 2,845.17 is: 4,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.87 : 5,684.36 = 2,845.17 : x
  2. Step 2: Convert to fraction form
    3,790.87/5,684.36 = 2,845.17/x
  3. Step 3: Cross multiply
    3,790.87x = 5,684.36 × 2,845.17
  4. Step 4: Simplify right side
    3,790.87x = 16,172,970.54
  5. Step 5: Solve for x
    x = 16,172,970.54/3,790.87
  6. Step 6: Final answer
    x = 4,266.30

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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.