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Finding the Fourth Proportional to 7,894.62, 11,843.10 and 2,699.28

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Solution

The fourth proportional to 7,894.62, 11,843.10 and 2,699.28 is: 4,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.62 : 11,843.10 = 2,699.28 : x
  2. Step 2: Convert to fraction form
    7,894.62/11,843.10 = 2,699.28/x
  3. Step 3: Cross multiply
    7,894.62x = 11,843.10 × 2,699.28
  4. Step 4: Simplify right side
    7,894.62x = 31,967,842.97
  5. Step 5: Solve for x
    x = 31,967,842.97/7,894.62
  6. Step 6: Final answer
    x = 4,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.