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Finding the Fourth Proportional to 2,889.75, 3,986.86 and 1,630.65

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Solution

The fourth proportional to 2,889.75, 3,986.86 and 1,630.65 is: 2,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.75 : 3,986.86 = 1,630.65 : x
  2. Step 2: Convert to fraction form
    2,889.75/3,986.86 = 1,630.65/x
  3. Step 3: Cross multiply
    2,889.75x = 3,986.86 × 1,630.65
  4. Step 4: Simplify right side
    2,889.75x = 6,501,149.25
  5. Step 5: Solve for x
    x = 6,501,149.25/2,889.75
  6. Step 6: Final answer
    x = 2,249.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.