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Finding the Fourth Proportional to 7,994,647.20, 11,988,471.60 and 3,200,743.20

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Solution

The fourth proportional to 7,994,647.20, 11,988,471.60 and 3,200,743.20 is: 4,799,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,994,647.20 : 11,988,471.60 = 3,200,743.20 : x
  2. Step 2: Convert to fraction form
    7,994,647.20/11,988,471.60 = 3,200,743.20/x
  3. Step 3: Cross multiply
    7,994,647.20x = 11,988,471.60 × 3,200,743.20
  4. Step 4: Simplify right side
    7,994,647.20x = 38,372,018,952,093.12
  5. Step 5: Solve for x
    x = 38,372,018,952,093.12/7,994,647.20
  6. Step 6: Final answer
    x = 4,799,713.86

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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.