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Finding the Fourth Proportional to 6,674.03, 9,209.99 and 3,689.78

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Solution

The fourth proportional to 6,674.03, 9,209.99 and 3,689.78 is: 5,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.03 : 9,209.99 = 3,689.78 : x
  2. Step 2: Convert to fraction form
    6,674.03/9,209.99 = 3,689.78/x
  3. Step 3: Cross multiply
    6,674.03x = 9,209.99 × 3,689.78
  4. Step 4: Simplify right side
    6,674.03x = 33,982,869.15
  5. Step 5: Solve for x
    x = 33,982,869.15/6,674.03
  6. Step 6: Final answer
    x = 5,091.81

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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.