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Finding the Fourth Proportional to 7,879.78, 11,820.86 and 2,684.44

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Solution

The fourth proportional to 7,879.78, 11,820.86 and 2,684.44 is: 4,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.78 : 11,820.86 = 2,684.44 : x
  2. Step 2: Convert to fraction form
    7,879.78/11,820.86 = 2,684.44/x
  3. Step 3: Cross multiply
    7,879.78x = 11,820.86 × 2,684.44
  4. Step 4: Simplify right side
    7,879.78x = 31,732,389.42
  5. Step 5: Solve for x
    x = 31,732,389.42/7,879.78
  6. Step 6: Final answer
    x = 4,027.07

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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.