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Finding the Fourth Proportional to 22,107.45, 33,161.51 and 12,309

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Solution

The fourth proportional to 22,107.45, 33,161.51 and 12,309 is: 18,463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,107.45 : 33,161.51 = 12,309 : x
  2. Step 2: Convert to fraction form
    22,107.45/33,161.51 = 12,309/x
  3. Step 3: Cross multiply
    22,107.45x = 33,161.51 × 12,309
  4. Step 4: Simplify right side
    22,107.45x = 408,185,026.59
  5. Step 5: Solve for x
    x = 408,185,026.59/22,107.45
  6. Step 6: Final answer
    x = 18,463.69

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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.