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Finding the Fourth Proportional to 8,523.72, 12,768.57 and 6,771.69

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Solution

The fourth proportional to 8,523.72, 12,768.57 and 6,771.69 is: 10,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.72 : 12,768.57 = 6,771.69 : x
  2. Step 2: Convert to fraction form
    8,523.72/12,768.57 = 6,771.69/x
  3. Step 3: Cross multiply
    8,523.72x = 12,768.57 × 6,771.69
  4. Step 4: Simplify right side
    8,523.72x = 86,464,797.78
  5. Step 5: Solve for x
    x = 86,464,797.78/8,523.72
  6. Step 6: Final answer
    x = 10,144.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.