Home / 3,829.40-5,744.10-3,764.60

Finding the Fourth Proportional to 3,829.40, 5,744.10 and 3,764.60

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Solution

The fourth proportional to 3,829.40, 5,744.10 and 3,764.60 is: 5,646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.40 : 5,744.10 = 3,764.60 : x
  2. Step 2: Convert to fraction form
    3,829.40/5,744.10 = 3,764.60/x
  3. Step 3: Cross multiply
    3,829.40x = 5,744.10 × 3,764.60
  4. Step 4: Simplify right side
    3,829.40x = 21,624,238.86
  5. Step 5: Solve for x
    x = 21,624,238.86/3,829.40
  6. Step 6: Final answer
    x = 5,646.90

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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.