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Finding the Fourth Proportional to 3,814.30, 5,709.30 and 2,720.80

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Solution

The fourth proportional to 3,814.30, 5,709.30 and 2,720.80 is: 4,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.30 : 5,709.30 = 2,720.80 : x
  2. Step 2: Convert to fraction form
    3,814.30/5,709.30 = 2,720.80/x
  3. Step 3: Cross multiply
    3,814.30x = 5,709.30 × 2,720.80
  4. Step 4: Simplify right side
    3,814.30x = 15,533,863.44
  5. Step 5: Solve for x
    x = 15,533,863.44/3,814.30
  6. Step 6: Final answer
    x = 4,072.53

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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.