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Finding the Fourth Proportional to 5,489.80, 8,231.90 and 1,789.66

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Solution

The fourth proportional to 5,489.80, 8,231.90 and 1,789.66 is: 2,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.80 : 8,231.90 = 1,789.66 : x
  2. Step 2: Convert to fraction form
    5,489.80/8,231.90 = 1,789.66/x
  3. Step 3: Cross multiply
    5,489.80x = 8,231.90 × 1,789.66
  4. Step 4: Simplify right side
    5,489.80x = 14,732,260.99
  5. Step 5: Solve for x
    x = 14,732,260.99/5,489.80
  6. Step 6: Final answer
    x = 2,683.57

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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.