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Finding the Fourth Proportional to 5,212.91, 7,191.79 and 3,194.48

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Solution

The fourth proportional to 5,212.91, 7,191.79 and 3,194.48 is: 4,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.91 : 7,191.79 = 3,194.48 : x
  2. Step 2: Convert to fraction form
    5,212.91/7,191.79 = 3,194.48/x
  3. Step 3: Cross multiply
    5,212.91x = 7,191.79 × 3,194.48
  4. Step 4: Simplify right side
    5,212.91x = 22,974,029.32
  5. Step 5: Solve for x
    x = 22,974,029.32/5,212.91
  6. Step 6: Final answer
    x = 4,407.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.