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Finding the Fourth Proportional to 7,906.92, 11,798.99 and 6,857.16

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Solution

The fourth proportional to 7,906.92, 11,798.99 and 6,857.16 is: 10,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.92 : 11,798.99 = 6,857.16 : x
  2. Step 2: Convert to fraction form
    7,906.92/11,798.99 = 6,857.16/x
  3. Step 3: Cross multiply
    7,906.92x = 11,798.99 × 6,857.16
  4. Step 4: Simplify right side
    7,906.92x = 80,907,527.98
  5. Step 5: Solve for x
    x = 80,907,527.98/7,906.92
  6. Step 6: Final answer
    x = 10,232.50

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.