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Finding the Fourth Proportional to 8,519.97, 11,742.78 and 8,027.90

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Solution

The fourth proportional to 8,519.97, 11,742.78 and 8,027.90 is: 11,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.97 : 11,742.78 = 8,027.90 : x
  2. Step 2: Convert to fraction form
    8,519.97/11,742.78 = 8,027.90/x
  3. Step 3: Cross multiply
    8,519.97x = 11,742.78 × 8,027.90
  4. Step 4: Simplify right side
    8,519.97x = 94,269,863.56
  5. Step 5: Solve for x
    x = 94,269,863.56/8,519.97
  6. Step 6: Final answer
    x = 11,064.58

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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.