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Finding the Fourth Proportional to 7,894.98, 11,843.64 and 2,628.27

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Solution

The fourth proportional to 7,894.98, 11,843.64 and 2,628.27 is: 3,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.98 : 11,843.64 = 2,628.27 : x
  2. Step 2: Convert to fraction form
    7,894.98/11,843.64 = 2,628.27/x
  3. Step 3: Cross multiply
    7,894.98x = 11,843.64 × 2,628.27
  4. Step 4: Simplify right side
    7,894.98x = 31,128,283.70
  5. Step 5: Solve for x
    x = 31,128,283.70/7,894.98
  6. Step 6: Final answer
    x = 3,942.79

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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.