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Finding the Fourth Proportional to 7,889.00, 11,836.97 and 4,190.33

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Solution

The fourth proportional to 7,889.00, 11,836.97 and 4,190.33 is: 6,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.00 : 11,836.97 = 4,190.33 : x
  2. Step 2: Convert to fraction form
    7,889.00/11,836.97 = 4,190.33/x
  3. Step 3: Cross multiply
    7,889.00x = 11,836.97 × 4,190.33
  4. Step 4: Simplify right side
    7,889.00x = 49,600,751.11
  5. Step 5: Solve for x
    x = 49,600,751.11/7,889.00
  6. Step 6: Final answer
    x = 6,287.33

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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.