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Finding the Fourth Proportional to 7,879.86, 11,816.64 and 3,494.34

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Solution

The fourth proportional to 7,879.86, 11,816.64 and 3,494.34 is: 5,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.86 : 11,816.64 = 3,494.34 : x
  2. Step 2: Convert to fraction form
    7,879.86/11,816.64 = 3,494.34/x
  3. Step 3: Cross multiply
    7,879.86x = 11,816.64 × 3,494.34
  4. Step 4: Simplify right side
    7,879.86x = 41,291,357.82
  5. Step 5: Solve for x
    x = 41,291,357.82/7,879.86
  6. Step 6: Final answer
    x = 5,240.11

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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.