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Finding the Fourth Proportional to 6,399.88, 8,829.24 and 3,917.32

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Solution

The fourth proportional to 6,399.88, 8,829.24 and 3,917.32 is: 5,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.88 : 8,829.24 = 3,917.32 : x
  2. Step 2: Convert to fraction form
    6,399.88/8,829.24 = 3,917.32/x
  3. Step 3: Cross multiply
    6,399.88x = 8,829.24 × 3,917.32
  4. Step 4: Simplify right side
    6,399.88x = 34,586,958.44
  5. Step 5: Solve for x
    x = 34,586,958.44/6,399.88
  6. Step 6: Final answer
    x = 5,404.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.