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Finding the Fourth Proportional to 6,689.25, 10,043 and 3,769.60

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Solution

The fourth proportional to 6,689.25, 10,043 and 3,769.60 is: 5,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.25 : 10,043 = 3,769.60 : x
  2. Step 2: Convert to fraction form
    6,689.25/10,043 = 3,769.60/x
  3. Step 3: Cross multiply
    6,689.25x = 10,043 × 3,769.60
  4. Step 4: Simplify right side
    6,689.25x = 37,858,092.80
  5. Step 5: Solve for x
    x = 37,858,092.80/6,689.25
  6. Step 6: Final answer
    x = 5,659.54

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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.