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Finding the Fourth Proportional to 3,091.68, 4,644 and 2,119.68

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Solution

The fourth proportional to 3,091.68, 4,644 and 2,119.68 is: 3,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.68 : 4,644 = 2,119.68 : x
  2. Step 2: Convert to fraction form
    3,091.68/4,644 = 2,119.68/x
  3. Step 3: Cross multiply
    3,091.68x = 4,644 × 2,119.68
  4. Step 4: Simplify right side
    3,091.68x = 9,843,793.92
  5. Step 5: Solve for x
    x = 9,843,793.92/3,091.68
  6. Step 6: Final answer
    x = 3,183.96

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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.