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Finding the Fourth Proportional to 8,112.92, 11,195.56 and 4,576

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Solution

The fourth proportional to 8,112.92, 11,195.56 and 4,576 is: 6,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.92 : 11,195.56 = 4,576 : x
  2. Step 2: Convert to fraction form
    8,112.92/11,195.56 = 4,576/x
  3. Step 3: Cross multiply
    8,112.92x = 11,195.56 × 4,576
  4. Step 4: Simplify right side
    8,112.92x = 51,230,882.56
  5. Step 5: Solve for x
    x = 51,230,882.56/8,112.92
  6. Step 6: Final answer
    x = 6,314.73

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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.