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Finding the Fourth Proportional to 6,427.35, 9,627.39 and 4,086

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Solution

The fourth proportional to 6,427.35, 9,627.39 and 4,086 is: 6,120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.35 : 9,627.39 = 4,086 : x
  2. Step 2: Convert to fraction form
    6,427.35/9,627.39 = 4,086/x
  3. Step 3: Cross multiply
    6,427.35x = 9,627.39 × 4,086
  4. Step 4: Simplify right side
    6,427.35x = 39,337,515.54
  5. Step 5: Solve for x
    x = 39,337,515.54/6,427.35
  6. Step 6: Final answer
    x = 6,120.33

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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.