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Finding the Fourth Proportional to 12,136.44, 18,193.32 and 5,556

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Solution

The fourth proportional to 12,136.44, 18,193.32 and 5,556 is: 8,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.44 : 18,193.32 = 5,556 : x
  2. Step 2: Convert to fraction form
    12,136.44/18,193.32 = 5,556/x
  3. Step 3: Cross multiply
    12,136.44x = 18,193.32 × 5,556
  4. Step 4: Simplify right side
    12,136.44x = 101,082,085.92
  5. Step 5: Solve for x
    x = 101,082,085.92/12,136.44
  6. Step 6: Final answer
    x = 8,328.81

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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.