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Finding the Fourth Proportional to 6,857.25, 10,269.46 and 6,512.79

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Solution

The fourth proportional to 6,857.25, 10,269.46 and 6,512.79 is: 9,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.25 : 10,269.46 = 6,512.79 : x
  2. Step 2: Convert to fraction form
    6,857.25/10,269.46 = 6,512.79/x
  3. Step 3: Cross multiply
    6,857.25x = 10,269.46 × 6,512.79
  4. Step 4: Simplify right side
    6,857.25x = 66,882,836.39
  5. Step 5: Solve for x
    x = 66,882,836.39/6,857.25
  6. Step 6: Final answer
    x = 9,753.59

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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.