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Finding the Fourth Proportional to 2,112.92, 3,168.48 and 725.88

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Solution

The fourth proportional to 2,112.92, 3,168.48 and 725.88 is: 1,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.92 : 3,168.48 = 725.88 : x
  2. Step 2: Convert to fraction form
    2,112.92/3,168.48 = 725.88/x
  3. Step 3: Cross multiply
    2,112.92x = 3,168.48 × 725.88
  4. Step 4: Simplify right side
    2,112.92x = 2,299,936.26
  5. Step 5: Solve for x
    x = 2,299,936.26/2,112.92
  6. Step 6: Final answer
    x = 1,088.51

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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.