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Finding the Fourth Proportional to 7,806, 11,710.89 and 3,189

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Solution

The fourth proportional to 7,806, 11,710.89 and 3,189 is: 4,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806 : 11,710.89 = 3,189 : x
  2. Step 2: Convert to fraction form
    7,806/11,710.89 = 3,189/x
  3. Step 3: Cross multiply
    7,806x = 11,710.89 × 3,189
  4. Step 4: Simplify right side
    7,806x = 37,346,028.21
  5. Step 5: Solve for x
    x = 37,346,028.21/7,806
  6. Step 6: Final answer
    x = 4,784.27

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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.