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Finding the Fourth Proportional to 22,205.97, 30,642.94 and 12,134.49

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Solution

The fourth proportional to 22,205.97, 30,642.94 and 12,134.49 is: 16,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.97 : 30,642.94 = 12,134.49 : x
  2. Step 2: Convert to fraction form
    22,205.97/30,642.94 = 12,134.49/x
  3. Step 3: Cross multiply
    22,205.97x = 30,642.94 × 12,134.49
  4. Step 4: Simplify right side
    22,205.97x = 371,836,521.62
  5. Step 5: Solve for x
    x = 371,836,521.62/22,205.97
  6. Step 6: Final answer
    x = 16,744.89

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1.5x scale

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.