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Finding the Fourth Proportional to 3,863.76, 5,796.81 and 1,399.74

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Solution

The fourth proportional to 3,863.76, 5,796.81 and 1,399.74 is: 2,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.76 : 5,796.81 = 1,399.74 : x
  2. Step 2: Convert to fraction form
    3,863.76/5,796.81 = 1,399.74/x
  3. Step 3: Cross multiply
    3,863.76x = 5,796.81 × 1,399.74
  4. Step 4: Simplify right side
    3,863.76x = 8,114,026.83
  5. Step 5: Solve for x
    x = 8,114,026.83/3,863.76
  6. Step 6: Final answer
    x = 2,100.03

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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.