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Finding the Fourth Proportional to 8,519.28, 11,739.04 and 8,404.46

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Solution

The fourth proportional to 8,519.28, 11,739.04 and 8,404.46 is: 11,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.28 : 11,739.04 = 8,404.46 : x
  2. Step 2: Convert to fraction form
    8,519.28/11,739.04 = 8,404.46/x
  3. Step 3: Cross multiply
    8,519.28x = 11,739.04 × 8,404.46
  4. Step 4: Simplify right side
    8,519.28x = 98,660,292.12
  5. Step 5: Solve for x
    x = 98,660,292.12/8,519.28
  6. Step 6: Final answer
    x = 11,580.83

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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.