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Finding the Fourth Proportional to 12,172.86, 18,261 and 3,852

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Solution

The fourth proportional to 12,172.86, 18,261 and 3,852 is: 5,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.86 : 18,261 = 3,852 : x
  2. Step 2: Convert to fraction form
    12,172.86/18,261 = 3,852/x
  3. Step 3: Cross multiply
    12,172.86x = 18,261 × 3,852
  4. Step 4: Simplify right side
    12,172.86x = 70,341,372
  5. Step 5: Solve for x
    x = 70,341,372/12,172.86
  6. Step 6: Final answer
    x = 5,778.54

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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.