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Finding the Fourth Proportional to 2,604.53, 3,907.20 and 872.75

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Solution

The fourth proportional to 2,604.53, 3,907.20 and 872.75 is: 1,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.53 : 3,907.20 = 872.75 : x
  2. Step 2: Convert to fraction form
    2,604.53/3,907.20 = 872.75/x
  3. Step 3: Cross multiply
    2,604.53x = 3,907.20 × 872.75
  4. Step 4: Simplify right side
    2,604.53x = 3,410,008.80
  5. Step 5: Solve for x
    x = 3,410,008.80/2,604.53
  6. Step 6: Final answer
    x = 1,309.26

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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.