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Finding the Fourth Proportional to 4,876.78, 7,311.97 and 1,755.22

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Solution

The fourth proportional to 4,876.78, 7,311.97 and 1,755.22 is: 2,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.78 : 7,311.97 = 1,755.22 : x
  2. Step 2: Convert to fraction form
    4,876.78/7,311.97 = 1,755.22/x
  3. Step 3: Cross multiply
    4,876.78x = 7,311.97 × 1,755.22
  4. Step 4: Simplify right side
    4,876.78x = 12,834,115.98
  5. Step 5: Solve for x
    x = 12,834,115.98/4,876.78
  6. Step 6: Final answer
    x = 2,631.68

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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.