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Finding the Fourth Proportional to 2,607.61, 3,912.97 and 965.31

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Solution

The fourth proportional to 2,607.61, 3,912.97 and 965.31 is: 1,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.61 : 3,912.97 = 965.31 : x
  2. Step 2: Convert to fraction form
    2,607.61/3,912.97 = 965.31/x
  3. Step 3: Cross multiply
    2,607.61x = 3,912.97 × 965.31
  4. Step 4: Simplify right side
    2,607.61x = 3,777,229.07
  5. Step 5: Solve for x
    x = 3,777,229.07/2,607.61
  6. Step 6: Final answer
    x = 1,448.54

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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.