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Finding the Fourth Proportional to 7,898.26, 11,843.42 and 2,631.42

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Solution

The fourth proportional to 7,898.26, 11,843.42 and 2,631.42 is: 3,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.26 : 11,843.42 = 2,631.42 : x
  2. Step 2: Convert to fraction form
    7,898.26/11,843.42 = 2,631.42/x
  3. Step 3: Cross multiply
    7,898.26x = 11,843.42 × 2,631.42
  4. Step 4: Simplify right side
    7,898.26x = 31,164,999.10
  5. Step 5: Solve for x
    x = 31,164,999.10/7,898.26
  6. Step 6: Final answer
    x = 3,945.81

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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.