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Finding the Fourth Proportional to 5,665.80, 8,489.11 and 3,469.94

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Solution

The fourth proportional to 5,665.80, 8,489.11 and 3,469.94 is: 5,199.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.80 : 8,489.11 = 3,469.94 : x
  2. Step 2: Convert to fraction form
    5,665.80/8,489.11 = 3,469.94/x
  3. Step 3: Cross multiply
    5,665.80x = 8,489.11 × 3,469.94
  4. Step 4: Simplify right side
    5,665.80x = 29,456,685.00
  5. Step 5: Solve for x
    x = 29,456,685.00/5,665.80
  6. Step 6: Final answer
    x = 5,199.03

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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.