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Finding the Fourth Proportional to 6,189, 8,541 and 3,394.68

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Solution

The fourth proportional to 6,189, 8,541 and 3,394.68 is: 4,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 8,541 = 3,394.68 : x
  2. Step 2: Convert to fraction form
    6,189/8,541 = 3,394.68/x
  3. Step 3: Cross multiply
    6,189x = 8,541 × 3,394.68
  4. Step 4: Simplify right side
    6,189x = 28,993,961.88
  5. Step 5: Solve for x
    x = 28,993,961.88/6,189
  6. Step 6: Final answer
    x = 4,684.76

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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.