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Finding the Fourth Proportional to 6,872, 10,308 and 2,255

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Solution

The fourth proportional to 6,872, 10,308 and 2,255 is: 3,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872 : 10,308 = 2,255 : x
  2. Step 2: Convert to fraction form
    6,872/10,308 = 2,255/x
  3. Step 3: Cross multiply
    6,872x = 10,308 × 2,255
  4. Step 4: Simplify right side
    6,872x = 23,244,540
  5. Step 5: Solve for x
    x = 23,244,540/6,872
  6. Step 6: Final answer
    x = 3,382.50

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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.