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Finding the Fourth Proportional to 6,489.90, 9,722.97 and 3,571.74

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Solution

The fourth proportional to 6,489.90, 9,722.97 and 3,571.74 is: 5,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.90 : 9,722.97 = 3,571.74 : x
  2. Step 2: Convert to fraction form
    6,489.90/9,722.97 = 3,571.74/x
  3. Step 3: Cross multiply
    6,489.90x = 9,722.97 × 3,571.74
  4. Step 4: Simplify right side
    6,489.90x = 34,727,920.87
  5. Step 5: Solve for x
    x = 34,727,920.87/6,489.90
  6. Step 6: Final answer
    x = 5,351.07

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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.