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Finding the Fourth Proportional to 31,279.97, 46,919.96 and 7,906.41

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Solution

The fourth proportional to 31,279.97, 46,919.96 and 7,906.41 is: 11,859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.97 : 46,919.96 = 7,906.41 : x
  2. Step 2: Convert to fraction form
    31,279.97/46,919.96 = 7,906.41/x
  3. Step 3: Cross multiply
    31,279.97x = 46,919.96 × 7,906.41
  4. Step 4: Simplify right side
    31,279.97x = 370,968,431.06
  5. Step 5: Solve for x
    x = 370,968,431.06/31,279.97
  6. Step 6: Final answer
    x = 11,859.62

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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.