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Finding the Fourth Proportional to 11,796, 16,279.26 and 6,828

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Solution

The fourth proportional to 11,796, 16,279.26 and 6,828 is: 9,423.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796 : 16,279.26 = 6,828 : x
  2. Step 2: Convert to fraction form
    11,796/16,279.26 = 6,828/x
  3. Step 3: Cross multiply
    11,796x = 16,279.26 × 6,828
  4. Step 4: Simplify right side
    11,796x = 111,154,787.28
  5. Step 5: Solve for x
    x = 111,154,787.28/11,796
  6. Step 6: Final answer
    x = 9,423.09

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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.