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Finding the Fourth Proportional to 3,986,646.20, 5,978,219.70 and 1,589,694.20

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Solution

The fourth proportional to 3,986,646.20, 5,978,219.70 and 1,589,694.20 is: 2,383,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986,646.20 : 5,978,219.70 = 1,589,694.20 : x
  2. Step 2: Convert to fraction form
    3,986,646.20/5,978,219.70 = 1,589,694.20/x
  3. Step 3: Cross multiply
    3,986,646.20x = 5,978,219.70 × 1,589,694.20
  4. Step 4: Simplify right side
    3,986,646.20x = 9,503,541,183,415.74
  5. Step 5: Solve for x
    x = 9,503,541,183,415.74/3,986,646.20
  6. Step 6: Final answer
    x = 2,383,843.64

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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.