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Finding the Fourth Proportional to 22,135.68, 33,208.38 and 12,289.32

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Solution

The fourth proportional to 22,135.68, 33,208.38 and 12,289.32 is: 18,436.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,135.68 : 33,208.38 = 12,289.32 : x
  2. Step 2: Convert to fraction form
    22,135.68/33,208.38 = 12,289.32/x
  3. Step 3: Cross multiply
    22,135.68x = 33,208.38 × 12,289.32
  4. Step 4: Simplify right side
    22,135.68x = 408,108,408.50
  5. Step 5: Solve for x
    x = 408,108,408.50/22,135.68
  6. Step 6: Final answer
    x = 18,436.68

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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.