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Finding the Fourth Proportional to 7,889.94, 11,839.50 and 3,209.22

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Solution

The fourth proportional to 7,889.94, 11,839.50 and 3,209.22 is: 4,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.94 : 11,839.50 = 3,209.22 : x
  2. Step 2: Convert to fraction form
    7,889.94/11,839.50 = 3,209.22/x
  3. Step 3: Cross multiply
    7,889.94x = 11,839.50 × 3,209.22
  4. Step 4: Simplify right side
    7,889.94x = 37,995,560.19
  5. Step 5: Solve for x
    x = 37,995,560.19/7,889.94
  6. Step 6: Final answer
    x = 4,815.70

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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.