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Finding the Fourth Proportional to 2,490.91, 3,736.37 and 759.52

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Solution

The fourth proportional to 2,490.91, 3,736.37 and 759.52 is: 1,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.91 : 3,736.37 = 759.52 : x
  2. Step 2: Convert to fraction form
    2,490.91/3,736.37 = 759.52/x
  3. Step 3: Cross multiply
    2,490.91x = 3,736.37 × 759.52
  4. Step 4: Simplify right side
    2,490.91x = 2,837,843.94
  5. Step 5: Solve for x
    x = 2,837,843.94/2,490.91
  6. Step 6: Final answer
    x = 1,139.28

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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.