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Finding the Fourth Proportional to 3,460.43, 5,190.62 and 863.37

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Solution

The fourth proportional to 3,460.43, 5,190.62 and 863.37 is: 1,295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.43 : 5,190.62 = 863.37 : x
  2. Step 2: Convert to fraction form
    3,460.43/5,190.62 = 863.37/x
  3. Step 3: Cross multiply
    3,460.43x = 5,190.62 × 863.37
  4. Step 4: Simplify right side
    3,460.43x = 4,481,427.75
  5. Step 5: Solve for x
    x = 4,481,427.75/3,460.43
  6. Step 6: Final answer
    x = 1,295.05

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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.