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Finding the Fourth Proportional to 7,926, 11,891.70 and 2,997.06

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Solution

The fourth proportional to 7,926, 11,891.70 and 2,997.06 is: 4,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926 : 11,891.70 = 2,997.06 : x
  2. Step 2: Convert to fraction form
    7,926/11,891.70 = 2,997.06/x
  3. Step 3: Cross multiply
    7,926x = 11,891.70 × 2,997.06
  4. Step 4: Simplify right side
    7,926x = 35,640,138.40
  5. Step 5: Solve for x
    x = 35,640,138.40/7,926
  6. Step 6: Final answer
    x = 4,496.61

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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.