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Finding the Fourth Proportional to 8,584.21, 11,757.45 and 8,079.85

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Solution

The fourth proportional to 8,584.21, 11,757.45 and 8,079.85 is: 11,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.21 : 11,757.45 = 8,079.85 : x
  2. Step 2: Convert to fraction form
    8,584.21/11,757.45 = 8,079.85/x
  3. Step 3: Cross multiply
    8,584.21x = 11,757.45 × 8,079.85
  4. Step 4: Simplify right side
    8,584.21x = 94,998,477.38
  5. Step 5: Solve for x
    x = 94,998,477.38/8,584.21
  6. Step 6: Final answer
    x = 11,066.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.