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Finding the Fourth Proportional to 22,404, 30,919.44 and 12,469.92

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Solution

The fourth proportional to 22,404, 30,919.44 and 12,469.92 is: 17,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,404 : 30,919.44 = 12,469.92 : x
  2. Step 2: Convert to fraction form
    22,404/30,919.44 = 12,469.92/x
  3. Step 3: Cross multiply
    22,404x = 30,919.44 × 12,469.92
  4. Step 4: Simplify right side
    22,404x = 385,562,943.24
  5. Step 5: Solve for x
    x = 385,562,943.24/22,404
  6. Step 6: Final answer
    x = 17,209.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.