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Finding the Fourth Proportional to 7,149.65, 10,725.90 and 2,469.83

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Solution

The fourth proportional to 7,149.65, 10,725.90 and 2,469.83 is: 3,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.65 : 10,725.90 = 2,469.83 : x
  2. Step 2: Convert to fraction form
    7,149.65/10,725.90 = 2,469.83/x
  3. Step 3: Cross multiply
    7,149.65x = 10,725.90 × 2,469.83
  4. Step 4: Simplify right side
    7,149.65x = 26,491,149.60
  5. Step 5: Solve for x
    x = 26,491,149.60/7,149.65
  6. Step 6: Final answer
    x = 3,705.24

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1.5x scale

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.