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Finding the Fourth Proportional to 7,658.82, 11,493.90 and 7,161.48

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Solution

The fourth proportional to 7,658.82, 11,493.90 and 7,161.48 is: 10,747.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.82 : 11,493.90 = 7,161.48 : x
  2. Step 2: Convert to fraction form
    7,658.82/11,493.90 = 7,161.48/x
  3. Step 3: Cross multiply
    7,658.82x = 11,493.90 × 7,161.48
  4. Step 4: Simplify right side
    7,658.82x = 82,313,334.97
  5. Step 5: Solve for x
    x = 82,313,334.97/7,658.82
  6. Step 6: Final answer
    x = 10,747.52

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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.