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Finding the Fourth Proportional to 7,873.80, 11,809.79 and 3,195.90

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Solution

The fourth proportional to 7,873.80, 11,809.79 and 3,195.90 is: 4,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.80 : 11,809.79 = 3,195.90 : x
  2. Step 2: Convert to fraction form
    7,873.80/11,809.79 = 3,195.90/x
  3. Step 3: Cross multiply
    7,873.80x = 11,809.79 × 3,195.90
  4. Step 4: Simplify right side
    7,873.80x = 37,742,891.88
  5. Step 5: Solve for x
    x = 37,742,891.88/7,873.80
  6. Step 6: Final answer
    x = 4,793.48

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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.