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Finding the Fourth Proportional to 7,984,331.20, 11,978,246.40 and 3,942,755.20

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Solution

The fourth proportional to 7,984,331.20, 11,978,246.40 and 3,942,755.20 is: 5,914,996.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984,331.20 : 11,978,246.40 = 3,942,755.20 : x
  2. Step 2: Convert to fraction form
    7,984,331.20/11,978,246.40 = 3,942,755.20/x
  3. Step 3: Cross multiply
    7,984,331.20x = 11,978,246.40 × 3,942,755.20
  4. Step 4: Simplify right side
    7,984,331.20x = 47,227,293,280,481.28
  5. Step 5: Solve for x
    x = 47,227,293,280,481.28/7,984,331.20
  6. Step 6: Final answer
    x = 5,914,996.77

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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.