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Finding the Fourth Proportional to 7,192.81, 10,786.38 and 2,809.63

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Solution

The fourth proportional to 7,192.81, 10,786.38 and 2,809.63 is: 4,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.81 : 10,786.38 = 2,809.63 : x
  2. Step 2: Convert to fraction form
    7,192.81/10,786.38 = 2,809.63/x
  3. Step 3: Cross multiply
    7,192.81x = 10,786.38 × 2,809.63
  4. Step 4: Simplify right side
    7,192.81x = 30,305,736.84
  5. Step 5: Solve for x
    x = 30,305,736.84/7,192.81
  6. Step 6: Final answer
    x = 4,213.34

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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.