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Finding the Fourth Proportional to 7,644.94, 11,469.21 and 2,379.70

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Solution

The fourth proportional to 7,644.94, 11,469.21 and 2,379.70 is: 3,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.94 : 11,469.21 = 2,379.70 : x
  2. Step 2: Convert to fraction form
    7,644.94/11,469.21 = 2,379.70/x
  3. Step 3: Cross multiply
    7,644.94x = 11,469.21 × 2,379.70
  4. Step 4: Simplify right side
    7,644.94x = 27,293,279.04
  5. Step 5: Solve for x
    x = 27,293,279.04/7,644.94
  6. Step 6: Final answer
    x = 3,570.11

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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.