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Finding the Fourth Proportional to 2,112.28, 3,168.54 and 813.74

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Solution

The fourth proportional to 2,112.28, 3,168.54 and 813.74 is: 1,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.28 : 3,168.54 = 813.74 : x
  2. Step 2: Convert to fraction form
    2,112.28/3,168.54 = 813.74/x
  3. Step 3: Cross multiply
    2,112.28x = 3,168.54 × 813.74
  4. Step 4: Simplify right side
    2,112.28x = 2,578,351.90
  5. Step 5: Solve for x
    x = 2,578,351.90/2,112.28
  6. Step 6: Final answer
    x = 1,220.65

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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.