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Finding the Fourth Proportional to 8,222.82, 11,348.45 and 7,964.48

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Solution

The fourth proportional to 8,222.82, 11,348.45 and 7,964.48 is: 10,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.82 : 11,348.45 = 7,964.48 : x
  2. Step 2: Convert to fraction form
    8,222.82/11,348.45 = 7,964.48/x
  3. Step 3: Cross multiply
    8,222.82x = 11,348.45 × 7,964.48
  4. Step 4: Simplify right side
    8,222.82x = 90,384,503.06
  5. Step 5: Solve for x
    x = 90,384,503.06/8,222.82
  6. Step 6: Final answer
    x = 10,991.91

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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.