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Finding the Fourth Proportional to 2,608.74, 3,906.23 and 1,829.70

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Solution

The fourth proportional to 2,608.74, 3,906.23 and 1,829.70 is: 2,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.74 : 3,906.23 = 1,829.70 : x
  2. Step 2: Convert to fraction form
    2,608.74/3,906.23 = 1,829.70/x
  3. Step 3: Cross multiply
    2,608.74x = 3,906.23 × 1,829.70
  4. Step 4: Simplify right side
    2,608.74x = 7,147,219.88
  5. Step 5: Solve for x
    x = 7,147,219.88/2,608.74
  6. Step 6: Final answer
    x = 2,739.72

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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.