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Finding the Fourth Proportional to 8,164.05, 11,264.84 and 7,748.82

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Solution

The fourth proportional to 8,164.05, 11,264.84 and 7,748.82 is: 10,691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.05 : 11,264.84 = 7,748.82 : x
  2. Step 2: Convert to fraction form
    8,164.05/11,264.84 = 7,748.82/x
  3. Step 3: Cross multiply
    8,164.05x = 11,264.84 × 7,748.82
  4. Step 4: Simplify right side
    8,164.05x = 87,289,217.49
  5. Step 5: Solve for x
    x = 87,289,217.49/8,164.05
  6. Step 6: Final answer
    x = 10,691.90

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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.