Home / 7,725.72-11,589.10-3,829.08

Finding the Fourth Proportional to 7,725.72, 11,589.10 and 3,829.08

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Solution

The fourth proportional to 7,725.72, 11,589.10 and 3,829.08 is: 5,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.72 : 11,589.10 = 3,829.08 : x
  2. Step 2: Convert to fraction form
    7,725.72/11,589.10 = 3,829.08/x
  3. Step 3: Cross multiply
    7,725.72x = 11,589.10 × 3,829.08
  4. Step 4: Simplify right side
    7,725.72x = 44,375,591.03
  5. Step 5: Solve for x
    x = 44,375,591.03/7,725.72
  6. Step 6: Final answer
    x = 5,743.88

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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.