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Finding the Fourth Proportional to 12,152.89, 18,229.72 and 3,832.98

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Solution

The fourth proportional to 12,152.89, 18,229.72 and 3,832.98 is: 5,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.89 : 18,229.72 = 3,832.98 : x
  2. Step 2: Convert to fraction form
    12,152.89/18,229.72 = 3,832.98/x
  3. Step 3: Cross multiply
    12,152.89x = 18,229.72 × 3,832.98
  4. Step 4: Simplify right side
    12,152.89x = 69,874,152.17
  5. Step 5: Solve for x
    x = 69,874,152.17/12,152.89
  6. Step 6: Final answer
    x = 5,749.59

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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.