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Finding the Fourth Proportional to 3,865.02, 5,797.56 and 1,399.86

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Solution

The fourth proportional to 3,865.02, 5,797.56 and 1,399.86 is: 2,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.02 : 5,797.56 = 1,399.86 : x
  2. Step 2: Convert to fraction form
    3,865.02/5,797.56 = 1,399.86/x
  3. Step 3: Cross multiply
    3,865.02x = 5,797.56 × 1,399.86
  4. Step 4: Simplify right side
    3,865.02x = 8,115,772.34
  5. Step 5: Solve for x
    x = 8,115,772.34/3,865.02
  6. Step 6: Final answer
    x = 2,099.80

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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.