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Finding the Fourth Proportional to 6,805.31, 10,208.43 and 1,874.43

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Solution

The fourth proportional to 6,805.31, 10,208.43 and 1,874.43 is: 2,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.31 : 10,208.43 = 1,874.43 : x
  2. Step 2: Convert to fraction form
    6,805.31/10,208.43 = 1,874.43/x
  3. Step 3: Cross multiply
    6,805.31x = 10,208.43 × 1,874.43
  4. Step 4: Simplify right side
    6,805.31x = 19,134,987.44
  5. Step 5: Solve for x
    x = 19,134,987.44/6,805.31
  6. Step 6: Final answer
    x = 2,811.78

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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.