Home / 7,829.25-11,744.43-3,149.29

Finding the Fourth Proportional to 7,829.25, 11,744.43 and 3,149.29

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Solution

The fourth proportional to 7,829.25, 11,744.43 and 3,149.29 is: 4,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.25 : 11,744.43 = 3,149.29 : x
  2. Step 2: Convert to fraction form
    7,829.25/11,744.43 = 3,149.29/x
  3. Step 3: Cross multiply
    7,829.25x = 11,744.43 × 3,149.29
  4. Step 4: Simplify right side
    7,829.25x = 36,986,557.23
  5. Step 5: Solve for x
    x = 36,986,557.23/7,829.25
  6. Step 6: Final answer
    x = 4,724.15

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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.