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Finding the Fourth Proportional to 7,806.56, 11,709.68 and 3,189.60

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Solution

The fourth proportional to 7,806.56, 11,709.68 and 3,189.60 is: 4,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.56 : 11,709.68 = 3,189.60 : x
  2. Step 2: Convert to fraction form
    7,806.56/11,709.68 = 3,189.60/x
  3. Step 3: Cross multiply
    7,806.56x = 11,709.68 × 3,189.60
  4. Step 4: Simplify right side
    7,806.56x = 37,349,195.33
  5. Step 5: Solve for x
    x = 37,349,195.33/7,806.56
  6. Step 6: Final answer
    x = 4,784.33

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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.