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Finding the Fourth Proportional to 2,850.78, 4,276.44 and 1,119

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Solution

The fourth proportional to 2,850.78, 4,276.44 and 1,119 is: 1,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.78 : 4,276.44 = 1,119 : x
  2. Step 2: Convert to fraction form
    2,850.78/4,276.44 = 1,119/x
  3. Step 3: Cross multiply
    2,850.78x = 4,276.44 × 1,119
  4. Step 4: Simplify right side
    2,850.78x = 4,785,336.36
  5. Step 5: Solve for x
    x = 4,785,336.36/2,850.78
  6. Step 6: Final answer
    x = 1,678.61

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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.