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Finding the Fourth Proportional to 7,241.69, 9,992.22 and 4,257.65

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Solution

The fourth proportional to 7,241.69, 9,992.22 and 4,257.65 is: 5,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.69 : 9,992.22 = 4,257.65 : x
  2. Step 2: Convert to fraction form
    7,241.69/9,992.22 = 4,257.65/x
  3. Step 3: Cross multiply
    7,241.69x = 9,992.22 × 4,257.65
  4. Step 4: Simplify right side
    7,241.69x = 42,543,375.48
  5. Step 5: Solve for x
    x = 42,543,375.48/7,241.69
  6. Step 6: Final answer
    x = 5,874.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.