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Finding the Fourth Proportional to 22,289.84, 30,759.56 and 12,218

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Solution

The fourth proportional to 22,289.84, 30,759.56 and 12,218 is: 16,860.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.84 : 30,759.56 = 12,218 : x
  2. Step 2: Convert to fraction form
    22,289.84/30,759.56 = 12,218/x
  3. Step 3: Cross multiply
    22,289.84x = 30,759.56 × 12,218
  4. Step 4: Simplify right side
    22,289.84x = 375,820,304.08
  5. Step 5: Solve for x
    x = 375,820,304.08/22,289.84
  6. Step 6: Final answer
    x = 16,860.61

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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.