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Finding the Fourth Proportional to 3,169.77, 4,755.38 and 1,089.75

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Solution

The fourth proportional to 3,169.77, 4,755.38 and 1,089.75 is: 1,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.77 : 4,755.38 = 1,089.75 : x
  2. Step 2: Convert to fraction form
    3,169.77/4,755.38 = 1,089.75/x
  3. Step 3: Cross multiply
    3,169.77x = 4,755.38 × 1,089.75
  4. Step 4: Simplify right side
    3,169.77x = 5,182,187.74
  5. Step 5: Solve for x
    x = 5,182,187.74/3,169.77
  6. Step 6: Final answer
    x = 1,634.88

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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.