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Finding the Fourth Proportional to 22,440, 33,664.86 and 8,589

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Solution

The fourth proportional to 22,440, 33,664.86 and 8,589 is: 12,885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,440 : 33,664.86 = 8,589 : x
  2. Step 2: Convert to fraction form
    22,440/33,664.86 = 8,589/x
  3. Step 3: Cross multiply
    22,440x = 33,664.86 × 8,589
  4. Step 4: Simplify right side
    22,440x = 289,147,482.54
  5. Step 5: Solve for x
    x = 289,147,482.54/22,440
  6. Step 6: Final answer
    x = 12,885.36

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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.