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Finding the Fourth Proportional to 8,221.82, 11,347.07 and 7,963.48

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Solution

The fourth proportional to 8,221.82, 11,347.07 and 7,963.48 is: 10,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.82 : 11,347.07 = 7,963.48 : x
  2. Step 2: Convert to fraction form
    8,221.82/11,347.07 = 7,963.48/x
  3. Step 3: Cross multiply
    8,221.82x = 11,347.07 × 7,963.48
  4. Step 4: Simplify right side
    8,221.82x = 90,362,120.34
  5. Step 5: Solve for x
    x = 90,362,120.34/8,221.82
  6. Step 6: Final answer
    x = 10,990.53

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Double scale
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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.