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Finding the Fourth Proportional to 2,608.37, 3,912.56 and 759.54

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Solution

The fourth proportional to 2,608.37, 3,912.56 and 759.54 is: 1,139.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.37 : 3,912.56 = 759.54 : x
  2. Step 2: Convert to fraction form
    2,608.37/3,912.56 = 759.54/x
  3. Step 3: Cross multiply
    2,608.37x = 3,912.56 × 759.54
  4. Step 4: Simplify right side
    2,608.37x = 2,971,742.02
  5. Step 5: Solve for x
    x = 2,971,742.02/2,608.37
  6. Step 6: Final answer
    x = 1,139.31

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1.5x scale

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.