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Finding the Fourth Proportional to 2,112.68, 3,168.68 and 725.96

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Solution

The fourth proportional to 2,112.68, 3,168.68 and 725.96 is: 1,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.68 : 3,168.68 = 725.96 : x
  2. Step 2: Convert to fraction form
    2,112.68/3,168.68 = 725.96/x
  3. Step 3: Cross multiply
    2,112.68x = 3,168.68 × 725.96
  4. Step 4: Simplify right side
    2,112.68x = 2,300,334.93
  5. Step 5: Solve for x
    x = 2,300,334.93/2,112.68
  6. Step 6: Final answer
    x = 1,088.82

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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.