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Finding the Fourth Proportional to 2,709.75, 3,738.56 and 1,590.44

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Solution

The fourth proportional to 2,709.75, 3,738.56 and 1,590.44 is: 2,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.75 : 3,738.56 = 1,590.44 : x
  2. Step 2: Convert to fraction form
    2,709.75/3,738.56 = 1,590.44/x
  3. Step 3: Cross multiply
    2,709.75x = 3,738.56 × 1,590.44
  4. Step 4: Simplify right side
    2,709.75x = 5,945,928.72
  5. Step 5: Solve for x
    x = 5,945,928.72/2,709.75
  6. Step 6: Final answer
    x = 2,194.27

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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.