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Finding the Fourth Proportional to 2,608.54, 3,912.94 and 965.58

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Solution

The fourth proportional to 2,608.54, 3,912.94 and 965.58 is: 1,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.54 : 3,912.94 = 965.58 : x
  2. Step 2: Convert to fraction form
    2,608.54/3,912.94 = 965.58/x
  3. Step 3: Cross multiply
    2,608.54x = 3,912.94 × 965.58
  4. Step 4: Simplify right side
    2,608.54x = 3,778,256.61
  5. Step 5: Solve for x
    x = 3,778,256.61/2,608.54
  6. Step 6: Final answer
    x = 1,448.42

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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.