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Finding the Fourth Proportional to 7,843.67, 11,767.26 and 2,649.41

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Solution

The fourth proportional to 7,843.67, 11,767.26 and 2,649.41 is: 3,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.67 : 11,767.26 = 2,649.41 : x
  2. Step 2: Convert to fraction form
    7,843.67/11,767.26 = 2,649.41/x
  3. Step 3: Cross multiply
    7,843.67x = 11,767.26 × 2,649.41
  4. Step 4: Simplify right side
    7,843.67x = 31,176,224.23
  5. Step 5: Solve for x
    x = 31,176,224.23/7,843.67
  6. Step 6: Final answer
    x = 3,974.70

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1.5x scale

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.