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Finding the Fourth Proportional to 2,805.89, 4,201.91 and 2,091.80

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Solution

The fourth proportional to 2,805.89, 4,201.91 and 2,091.80 is: 3,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.89 : 4,201.91 = 2,091.80 : x
  2. Step 2: Convert to fraction form
    2,805.89/4,201.91 = 2,091.80/x
  3. Step 3: Cross multiply
    2,805.89x = 4,201.91 × 2,091.80
  4. Step 4: Simplify right side
    2,805.89x = 8,789,555.34
  5. Step 5: Solve for x
    x = 8,789,555.34/2,805.89
  6. Step 6: Final answer
    x = 3,132.54

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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.