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Finding the Fourth Proportional to 5,789.89, 8,683 and 2,091.63

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Solution

The fourth proportional to 5,789.89, 8,683 and 2,091.63 is: 3,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.89 : 8,683 = 2,091.63 : x
  2. Step 2: Convert to fraction form
    5,789.89/8,683 = 2,091.63/x
  3. Step 3: Cross multiply
    5,789.89x = 8,683 × 2,091.63
  4. Step 4: Simplify right side
    5,789.89x = 18,161,623.29
  5. Step 5: Solve for x
    x = 18,161,623.29/5,789.89
  6. Step 6: Final answer
    x = 3,136.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.