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Finding the Fourth Proportional to 2,785.74, 4,179 and 936.44

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Solution

The fourth proportional to 2,785.74, 4,179 and 936.44 is: 1,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.74 : 4,179 = 936.44 : x
  2. Step 2: Convert to fraction form
    2,785.74/4,179 = 936.44/x
  3. Step 3: Cross multiply
    2,785.74x = 4,179 × 936.44
  4. Step 4: Simplify right side
    2,785.74x = 3,913,382.76
  5. Step 5: Solve for x
    x = 3,913,382.76/2,785.74
  6. Step 6: Final answer
    x = 1,404.79

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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.