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Finding the Fourth Proportional to 7,192.87, 10,786.57 and 2,809.76

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Solution

The fourth proportional to 7,192.87, 10,786.57 and 2,809.76 is: 4,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.87 : 10,786.57 = 2,809.76 : x
  2. Step 2: Convert to fraction form
    7,192.87/10,786.57 = 2,809.76/x
  3. Step 3: Cross multiply
    7,192.87x = 10,786.57 × 2,809.76
  4. Step 4: Simplify right side
    7,192.87x = 30,307,611.97
  5. Step 5: Solve for x
    x = 30,307,611.97/7,192.87
  6. Step 6: Final answer
    x = 4,213.56

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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.