Home / 2,176.26-3,264.39-789.78

Finding the Fourth Proportional to 2,176.26, 3,264.39 and 789.78

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Solution

The fourth proportional to 2,176.26, 3,264.39 and 789.78 is: 1,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.26 : 3,264.39 = 789.78 : x
  2. Step 2: Convert to fraction form
    2,176.26/3,264.39 = 789.78/x
  3. Step 3: Cross multiply
    2,176.26x = 3,264.39 × 789.78
  4. Step 4: Simplify right side
    2,176.26x = 2,578,149.93
  5. Step 5: Solve for x
    x = 2,578,149.93/2,176.26
  6. Step 6: Final answer
    x = 1,184.67

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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.