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Finding the Fourth Proportional to 7,896.25, 11,844.42 and 3,279.25

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Solution

The fourth proportional to 7,896.25, 11,844.42 and 3,279.25 is: 4,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.25 : 11,844.42 = 3,279.25 : x
  2. Step 2: Convert to fraction form
    7,896.25/11,844.42 = 3,279.25/x
  3. Step 3: Cross multiply
    7,896.25x = 11,844.42 × 3,279.25
  4. Step 4: Simplify right side
    7,896.25x = 38,840,814.29
  5. Step 5: Solve for x
    x = 38,840,814.29/7,896.25
  6. Step 6: Final answer
    x = 4,918.89

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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.