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Finding the Fourth Proportional to 21,828, 30,122.96 and 11,892

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Solution

The fourth proportional to 21,828, 30,122.96 and 11,892 is: 16,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828 : 30,122.96 = 11,892 : x
  2. Step 2: Convert to fraction form
    21,828/30,122.96 = 11,892/x
  3. Step 3: Cross multiply
    21,828x = 30,122.96 × 11,892
  4. Step 4: Simplify right side
    21,828x = 358,222,240.32
  5. Step 5: Solve for x
    x = 358,222,240.32/21,828
  6. Step 6: Final answer
    x = 16,411.13

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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.