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Finding the Fourth Proportional to 1,800, 2,697.84 and 759.68

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Solution

The fourth proportional to 1,800, 2,697.84 and 759.68 is: 1,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800 : 2,697.84 = 759.68 : x
  2. Step 2: Convert to fraction form
    1,800/2,697.84 = 759.68/x
  3. Step 3: Cross multiply
    1,800x = 2,697.84 × 759.68
  4. Step 4: Simplify right side
    1,800x = 2,049,495.09
  5. Step 5: Solve for x
    x = 2,049,495.09/1,800
  6. Step 6: Final answer
    x = 1,138.61

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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.