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Finding the Fourth Proportional to 12,129.12, 18,190.44 and 5,202

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Solution

The fourth proportional to 12,129.12, 18,190.44 and 5,202 is: 7,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.12 : 18,190.44 = 5,202 : x
  2. Step 2: Convert to fraction form
    12,129.12/18,190.44 = 5,202/x
  3. Step 3: Cross multiply
    12,129.12x = 18,190.44 × 5,202
  4. Step 4: Simplify right side
    12,129.12x = 94,626,668.88
  5. Step 5: Solve for x
    x = 94,626,668.88/12,129.12
  6. Step 6: Final answer
    x = 7,801.61

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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.