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Finding the Fourth Proportional to 8,329, 12,494.22 and 2,173

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Solution

The fourth proportional to 8,329, 12,494.22 and 2,173 is: 3,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329 : 12,494.22 = 2,173 : x
  2. Step 2: Convert to fraction form
    8,329/12,494.22 = 2,173/x
  3. Step 3: Cross multiply
    8,329x = 12,494.22 × 2,173
  4. Step 4: Simplify right side
    8,329x = 27,149,940.06
  5. Step 5: Solve for x
    x = 27,149,940.06/8,329
  6. Step 6: Final answer
    x = 3,259.69

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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.