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Finding the Fourth Proportional to 6,796.64, 10,194.64 and 3,987

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Solution

The fourth proportional to 6,796.64, 10,194.64 and 3,987 is: 5,980.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.64 : 10,194.64 = 3,987 : x
  2. Step 2: Convert to fraction form
    6,796.64/10,194.64 = 3,987/x
  3. Step 3: Cross multiply
    6,796.64x = 10,194.64 × 3,987
  4. Step 4: Simplify right side
    6,796.64x = 40,646,029.68
  5. Step 5: Solve for x
    x = 40,646,029.68/6,796.64
  6. Step 6: Final answer
    x = 5,980.31

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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.