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Finding the Fourth Proportional to 5,511, 7,605.18 and 3,027

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Solution

The fourth proportional to 5,511, 7,605.18 and 3,027 is: 4,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511 : 7,605.18 = 3,027 : x
  2. Step 2: Convert to fraction form
    5,511/7,605.18 = 3,027/x
  3. Step 3: Cross multiply
    5,511x = 7,605.18 × 3,027
  4. Step 4: Simplify right side
    5,511x = 23,020,879.86
  5. Step 5: Solve for x
    x = 23,020,879.86/5,511
  6. Step 6: Final answer
    x = 4,177.26

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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.