Home / 3,814.40-5,722.68-2,255.78

Finding the Fourth Proportional to 3,814.40, 5,722.68 and 2,255.78

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Solution

The fourth proportional to 3,814.40, 5,722.68 and 2,255.78 is: 3,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.40 : 5,722.68 = 2,255.78 : x
  2. Step 2: Convert to fraction form
    3,814.40/5,722.68 = 2,255.78/x
  3. Step 3: Cross multiply
    3,814.40x = 5,722.68 × 2,255.78
  4. Step 4: Simplify right side
    3,814.40x = 12,909,107.09
  5. Step 5: Solve for x
    x = 12,909,107.09/3,814.40
  6. Step 6: Final answer
    x = 3,384.31

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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.