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Finding the Fourth Proportional to 11,812, 16,302.72 and 6,844

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Solution

The fourth proportional to 11,812, 16,302.72 and 6,844 is: 9,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812 : 16,302.72 = 6,844 : x
  2. Step 2: Convert to fraction form
    11,812/16,302.72 = 6,844/x
  3. Step 3: Cross multiply
    11,812x = 16,302.72 × 6,844
  4. Step 4: Simplify right side
    11,812x = 111,575,815.68
  5. Step 5: Solve for x
    x = 111,575,815.68/11,812
  6. Step 6: Final answer
    x = 9,445.97

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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.