Home / 3,204.28-4,806.42-895.78

Finding the Fourth Proportional to 3,204.28, 4,806.42 and 895.78

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Solution

The fourth proportional to 3,204.28, 4,806.42 and 895.78 is: 1,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.28 : 4,806.42 = 895.78 : x
  2. Step 2: Convert to fraction form
    3,204.28/4,806.42 = 895.78/x
  3. Step 3: Cross multiply
    3,204.28x = 4,806.42 × 895.78
  4. Step 4: Simplify right side
    3,204.28x = 4,305,494.91
  5. Step 5: Solve for x
    x = 4,305,494.91/3,204.28
  6. Step 6: Final answer
    x = 1,343.67

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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.