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Finding the Fourth Proportional to 21,792.84, 30,072.84 and 12,231.84

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Solution

The fourth proportional to 21,792.84, 30,072.84 and 12,231.84 is: 16,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792.84 : 30,072.84 = 12,231.84 : x
  2. Step 2: Convert to fraction form
    21,792.84/30,072.84 = 12,231.84/x
  3. Step 3: Cross multiply
    21,792.84x = 30,072.84 × 12,231.84
  4. Step 4: Simplify right side
    21,792.84x = 367,846,167.23
  5. Step 5: Solve for x
    x = 367,846,167.23/21,792.84
  6. Step 6: Final answer
    x = 16,879.22

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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.