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Finding the Fourth Proportional to 2,745.87, 3,789.84 and 1,861.95

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Solution

The fourth proportional to 2,745.87, 3,789.84 and 1,861.95 is: 2,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.87 : 3,789.84 = 1,861.95 : x
  2. Step 2: Convert to fraction form
    2,745.87/3,789.84 = 1,861.95/x
  3. Step 3: Cross multiply
    2,745.87x = 3,789.84 × 1,861.95
  4. Step 4: Simplify right side
    2,745.87x = 7,056,513.78
  5. Step 5: Solve for x
    x = 7,056,513.78/2,745.87
  6. Step 6: Final answer
    x = 2,569.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.