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Finding the Fourth Proportional to 6,313.75, 8,713.25 and 3,519.25

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Solution

The fourth proportional to 6,313.75, 8,713.25 and 3,519.25 is: 4,856.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.75 : 8,713.25 = 3,519.25 : x
  2. Step 2: Convert to fraction form
    6,313.75/8,713.25 = 3,519.25/x
  3. Step 3: Cross multiply
    6,313.75x = 8,713.25 × 3,519.25
  4. Step 4: Simplify right side
    6,313.75x = 30,664,105.06
  5. Step 5: Solve for x
    x = 30,664,105.06/6,313.75
  6. Step 6: Final answer
    x = 4,856.72

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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.