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Finding the Fourth Proportional to 2,997.86, 4,482 and 2,540.75

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Solution

The fourth proportional to 2,997.86, 4,482 and 2,540.75 is: 3,798.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.86 : 4,482 = 2,540.75 : x
  2. Step 2: Convert to fraction form
    2,997.86/4,482 = 2,540.75/x
  3. Step 3: Cross multiply
    2,997.86x = 4,482 × 2,540.75
  4. Step 4: Simplify right side
    2,997.86x = 11,387,619.09
  5. Step 5: Solve for x
    x = 11,387,619.09/2,997.86
  6. Step 6: Final answer
    x = 3,798.59

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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.