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Finding the Fourth Proportional to 6,857.75, 10,270.22 and 6,513.30

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Solution

The fourth proportional to 6,857.75, 10,270.22 and 6,513.30 is: 9,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.75 : 10,270.22 = 6,513.30 : x
  2. Step 2: Convert to fraction form
    6,857.75/10,270.22 = 6,513.30/x
  3. Step 3: Cross multiply
    6,857.75x = 10,270.22 × 6,513.30
  4. Step 4: Simplify right side
    6,857.75x = 66,892,991.36
  5. Step 5: Solve for x
    x = 66,892,991.36/6,857.75
  6. Step 6: Final answer
    x = 9,754.37

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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.