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Finding the Fourth Proportional to 3,807.60, 5,704.38 and 3,195.24

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Solution

The fourth proportional to 3,807.60, 5,704.38 and 3,195.24 is: 4,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.60 : 5,704.38 = 3,195.24 : x
  2. Step 2: Convert to fraction form
    3,807.60/5,704.38 = 3,195.24/x
  3. Step 3: Cross multiply
    3,807.60x = 5,704.38 × 3,195.24
  4. Step 4: Simplify right side
    3,807.60x = 18,226,863.15
  5. Step 5: Solve for x
    x = 18,226,863.15/3,807.60
  6. Step 6: Final answer
    x = 4,786.97

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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.