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Finding the Fourth Proportional to 6,285, 8,673.30 and 3,801

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Solution

The fourth proportional to 6,285, 8,673.30 and 3,801 is: 5,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285 : 8,673.30 = 3,801 : x
  2. Step 2: Convert to fraction form
    6,285/8,673.30 = 3,801/x
  3. Step 3: Cross multiply
    6,285x = 8,673.30 × 3,801
  4. Step 4: Simplify right side
    6,285x = 32,967,213.30
  5. Step 5: Solve for x
    x = 32,967,213.30/6,285
  6. Step 6: Final answer
    x = 5,245.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.