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Finding the Fourth Proportional to 7,147.67, 10,725.69 and 2,764.90

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Solution

The fourth proportional to 7,147.67, 10,725.69 and 2,764.90 is: 4,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.67 : 10,725.69 = 2,764.90 : x
  2. Step 2: Convert to fraction form
    7,147.67/10,725.69 = 2,764.90/x
  3. Step 3: Cross multiply
    7,147.67x = 10,725.69 × 2,764.90
  4. Step 4: Simplify right side
    7,147.67x = 29,655,406.65
  5. Step 5: Solve for x
    x = 29,655,406.65/7,147.67
  6. Step 6: Final answer
    x = 4,148.96

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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.