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Finding the Fourth Proportional to 2,855.86, 3,939.96 and 1,793

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Solution

The fourth proportional to 2,855.86, 3,939.96 and 1,793 is: 2,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.86 : 3,939.96 = 1,793 : x
  2. Step 2: Convert to fraction form
    2,855.86/3,939.96 = 1,793/x
  3. Step 3: Cross multiply
    2,855.86x = 3,939.96 × 1,793
  4. Step 4: Simplify right side
    2,855.86x = 7,064,348.28
  5. Step 5: Solve for x
    x = 7,064,348.28/2,855.86
  6. Step 6: Final answer
    x = 2,473.63

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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.