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Finding the Fourth Proportional to 7,190.91, 10,784.74 and 2,806.11

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Solution

The fourth proportional to 7,190.91, 10,784.74 and 2,806.11 is: 4,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.91 : 10,784.74 = 2,806.11 : x
  2. Step 2: Convert to fraction form
    7,190.91/10,784.74 = 2,806.11/x
  3. Step 3: Cross multiply
    7,190.91x = 10,784.74 × 2,806.11
  4. Step 4: Simplify right side
    7,190.91x = 30,263,152.73
  5. Step 5: Solve for x
    x = 30,263,152.73/7,190.91
  6. Step 6: Final answer
    x = 4,208.53

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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.