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Finding the Fourth Proportional to 2,608, 3,912.24 and 876.64

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Solution

The fourth proportional to 2,608, 3,912.24 and 876.64 is: 1,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608 : 3,912.24 = 876.64 : x
  2. Step 2: Convert to fraction form
    2,608/3,912.24 = 876.64/x
  3. Step 3: Cross multiply
    2,608x = 3,912.24 × 876.64
  4. Step 4: Simplify right side
    2,608x = 3,429,626.07
  5. Step 5: Solve for x
    x = 3,429,626.07/2,608
  6. Step 6: Final answer
    x = 1,315.04

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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.