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Finding the Fourth Proportional to 7,993.48, 11,993.50 and 3,609.80

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Solution

The fourth proportional to 7,993.48, 11,993.50 and 3,609.80 is: 5,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.48 : 11,993.50 = 3,609.80 : x
  2. Step 2: Convert to fraction form
    7,993.48/11,993.50 = 3,609.80/x
  3. Step 3: Cross multiply
    7,993.48x = 11,993.50 × 3,609.80
  4. Step 4: Simplify right side
    7,993.48x = 43,294,136.30
  5. Step 5: Solve for x
    x = 43,294,136.30/7,993.48
  6. Step 6: Final answer
    x = 5,416.18

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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.