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Finding the Fourth Proportional to 3,093.68, 4,640.15 and 872.68

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Solution

The fourth proportional to 3,093.68, 4,640.15 and 872.68 is: 1,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.68 : 4,640.15 = 872.68 : x
  2. Step 2: Convert to fraction form
    3,093.68/4,640.15 = 872.68/x
  3. Step 3: Cross multiply
    3,093.68x = 4,640.15 × 872.68
  4. Step 4: Simplify right side
    3,093.68x = 4,049,363.92
  5. Step 5: Solve for x
    x = 4,049,363.92/3,093.68
  6. Step 6: Final answer
    x = 1,308.91

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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.