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Finding the Fourth Proportional to 3,813.66, 5,720.46 and 3,190.38

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Solution

The fourth proportional to 3,813.66, 5,720.46 and 3,190.38 is: 4,785.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.66 : 5,720.46 = 3,190.38 : x
  2. Step 2: Convert to fraction form
    3,813.66/5,720.46 = 3,190.38/x
  3. Step 3: Cross multiply
    3,813.66x = 5,720.46 × 3,190.38
  4. Step 4: Simplify right side
    3,813.66x = 18,250,441.17
  5. Step 5: Solve for x
    x = 18,250,441.17/3,813.66
  6. Step 6: Final answer
    x = 4,785.54

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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.