Home / 2,088.08-3,131.84-789.38

Finding the Fourth Proportional to 2,088.08, 3,131.84 and 789.38

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Solution

The fourth proportional to 2,088.08, 3,131.84 and 789.38 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,088.08 : 3,131.84 = 789.38 : x
  2. Step 2: Convert to fraction form
    2,088.08/3,131.84 = 789.38/x
  3. Step 3: Cross multiply
    2,088.08x = 3,131.84 × 789.38
  4. Step 4: Simplify right side
    2,088.08x = 2,472,198.17
  5. Step 5: Solve for x
    x = 2,472,198.17/2,088.08
  6. Step 6: Final answer
    x = 1,183.96

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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.