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Finding the Fourth Proportional to 3,863.54, 5,795.75 and 1,399.52

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Solution

The fourth proportional to 3,863.54, 5,795.75 and 1,399.52 is: 2,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.54 : 5,795.75 = 1,399.52 : x
  2. Step 2: Convert to fraction form
    3,863.54/5,795.75 = 1,399.52/x
  3. Step 3: Cross multiply
    3,863.54x = 5,795.75 × 1,399.52
  4. Step 4: Simplify right side
    3,863.54x = 8,111,242.56
  5. Step 5: Solve for x
    x = 8,111,242.56/3,863.54
  6. Step 6: Final answer
    x = 2,099.44

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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.