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Finding the Fourth Proportional to 6,389.84, 9,584.34 and 2,229.92

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Solution

The fourth proportional to 6,389.84, 9,584.34 and 2,229.92 is: 3,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.84 : 9,584.34 = 2,229.92 : x
  2. Step 2: Convert to fraction form
    6,389.84/9,584.34 = 2,229.92/x
  3. Step 3: Cross multiply
    6,389.84x = 9,584.34 × 2,229.92
  4. Step 4: Simplify right side
    6,389.84x = 21,372,311.45
  5. Step 5: Solve for x
    x = 21,372,311.45/6,389.84
  6. Step 6: Final answer
    x = 3,344.73

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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.