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Finding the Fourth Proportional to 2,608.19, 3,912.32 and 876.81

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Solution

The fourth proportional to 2,608.19, 3,912.32 and 876.81 is: 1,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608.19 : 3,912.32 = 876.81 : x
  2. Step 2: Convert to fraction form
    2,608.19/3,912.32 = 876.81/x
  3. Step 3: Cross multiply
    2,608.19x = 3,912.32 × 876.81
  4. Step 4: Simplify right side
    2,608.19x = 3,430,361.30
  5. Step 5: Solve for x
    x = 3,430,361.30/2,608.19
  6. Step 6: Final answer
    x = 1,315.23

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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.