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Finding the Fourth Proportional to 3,021, 4,169.09 and 1,761.86

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Solution

The fourth proportional to 3,021, 4,169.09 and 1,761.86 is: 2,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021 : 4,169.09 = 1,761.86 : x
  2. Step 2: Convert to fraction form
    3,021/4,169.09 = 1,761.86/x
  3. Step 3: Cross multiply
    3,021x = 4,169.09 × 1,761.86
  4. Step 4: Simplify right side
    3,021x = 7,345,323.25
  5. Step 5: Solve for x
    x = 7,345,323.25/3,021
  6. Step 6: Final answer
    x = 2,431.42

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1.5x scale

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.