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Finding the Fourth Proportional to 20,082, 27,712.51 and 12,122.84

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Solution

The fourth proportional to 20,082, 27,712.51 and 12,122.84 is: 16,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082 : 27,712.51 = 12,122.84 : x
  2. Step 2: Convert to fraction form
    20,082/27,712.51 = 12,122.84/x
  3. Step 3: Cross multiply
    20,082x = 27,712.51 × 12,122.84
  4. Step 4: Simplify right side
    20,082x = 335,954,324.73
  5. Step 5: Solve for x
    x = 335,954,324.73/20,082
  6. Step 6: Final answer
    x = 16,729.13

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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.