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Finding the Fourth Proportional to 8,223.32, 11,349.14 and 7,964.97

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Solution

The fourth proportional to 8,223.32, 11,349.14 and 7,964.97 is: 10,992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.32 : 11,349.14 = 7,964.97 : x
  2. Step 2: Convert to fraction form
    8,223.32/11,349.14 = 7,964.97/x
  3. Step 3: Cross multiply
    8,223.32x = 11,349.14 × 7,964.97
  4. Step 4: Simplify right side
    8,223.32x = 90,395,519.80
  5. Step 5: Solve for x
    x = 90,395,519.80/8,223.32
  6. Step 6: Final answer
    x = 10,992.59

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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.