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Finding the Fourth Proportional to 7,668.72, 11,481.21 and 5,198.22

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Solution

The fourth proportional to 7,668.72, 11,481.21 and 5,198.22 is: 7,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.72 : 11,481.21 = 5,198.22 : x
  2. Step 2: Convert to fraction form
    7,668.72/11,481.21 = 5,198.22/x
  3. Step 3: Cross multiply
    7,668.72x = 11,481.21 × 5,198.22
  4. Step 4: Simplify right side
    7,668.72x = 59,681,855.45
  5. Step 5: Solve for x
    x = 59,681,855.45/7,668.72
  6. Step 6: Final answer
    x = 7,782.51

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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.