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Finding the Fourth Proportional to 3,589.25, 5,384 and 1,249.28

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Solution

The fourth proportional to 3,589.25, 5,384 and 1,249.28 is: 1,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.25 : 5,384 = 1,249.28 : x
  2. Step 2: Convert to fraction form
    3,589.25/5,384 = 1,249.28/x
  3. Step 3: Cross multiply
    3,589.25x = 5,384 × 1,249.28
  4. Step 4: Simplify right side
    3,589.25x = 6,726,123.52
  5. Step 5: Solve for x
    x = 6,726,123.52/3,589.25
  6. Step 6: Final answer
    x = 1,873.96

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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.