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Finding the Fourth Proportional to 1,905.80, 2,850.78 and 1,789.16

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Solution

The fourth proportional to 1,905.80, 2,850.78 and 1,789.16 is: 2,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.80 : 2,850.78 = 1,789.16 : x
  2. Step 2: Convert to fraction form
    1,905.80/2,850.78 = 1,789.16/x
  3. Step 3: Cross multiply
    1,905.80x = 2,850.78 × 1,789.16
  4. Step 4: Simplify right side
    1,905.80x = 5,100,501.54
  5. Step 5: Solve for x
    x = 5,100,501.54/1,905.80
  6. Step 6: Final answer
    x = 2,676.30

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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.