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Finding the Fourth Proportional to 3,122.28, 4,683.42 and 813.78

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Solution

The fourth proportional to 3,122.28, 4,683.42 and 813.78 is: 1,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.28 : 4,683.42 = 813.78 : x
  2. Step 2: Convert to fraction form
    3,122.28/4,683.42 = 813.78/x
  3. Step 3: Cross multiply
    3,122.28x = 4,683.42 × 813.78
  4. Step 4: Simplify right side
    3,122.28x = 3,811,273.53
  5. Step 5: Solve for x
    x = 3,811,273.53/3,122.28
  6. Step 6: Final answer
    x = 1,220.67

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Similar ratio
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1.5x scale

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.