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Finding the Fourth Proportional to 7,894.01, 11,832.77 and 3,212.15

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Solution

The fourth proportional to 7,894.01, 11,832.77 and 3,212.15 is: 4,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.01 : 11,832.77 = 3,212.15 : x
  2. Step 2: Convert to fraction form
    7,894.01/11,832.77 = 3,212.15/x
  3. Step 3: Cross multiply
    7,894.01x = 11,832.77 × 3,212.15
  4. Step 4: Simplify right side
    7,894.01x = 38,008,556.93
  5. Step 5: Solve for x
    x = 38,008,556.93/7,894.01
  6. Step 6: Final answer
    x = 4,814.86

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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.