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Finding the Fourth Proportional to 2,608.77, 3,914.66 and 966.45

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Solution

The fourth proportional to 2,608.77, 3,914.66 and 966.45 is: 1,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.77 : 3,914.66 = 966.45 : x
  2. Step 2: Convert to fraction form
    2,608.77/3,914.66 = 966.45/x
  3. Step 3: Cross multiply
    2,608.77x = 3,914.66 × 966.45
  4. Step 4: Simplify right side
    2,608.77x = 3,783,323.16
  5. Step 5: Solve for x
    x = 3,783,323.16/2,608.77
  6. Step 6: Final answer
    x = 1,450.23

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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.