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Finding the Fourth Proportional to 2,755.72, 4,134.26 and 807.94

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Solution

The fourth proportional to 2,755.72, 4,134.26 and 807.94 is: 1,212.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.72 : 4,134.26 = 807.94 : x
  2. Step 2: Convert to fraction form
    2,755.72/4,134.26 = 807.94/x
  3. Step 3: Cross multiply
    2,755.72x = 4,134.26 × 807.94
  4. Step 4: Simplify right side
    2,755.72x = 3,340,234.02
  5. Step 5: Solve for x
    x = 3,340,234.02/2,755.72
  6. Step 6: Final answer
    x = 1,212.11

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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.