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Finding the Fourth Proportional to 11,874.54, 17,804.59 and 8,172.69

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Solution

The fourth proportional to 11,874.54, 17,804.59 and 8,172.69 is: 12,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.54 : 17,804.59 = 8,172.69 : x
  2. Step 2: Convert to fraction form
    11,874.54/17,804.59 = 8,172.69/x
  3. Step 3: Cross multiply
    11,874.54x = 17,804.59 × 8,172.69
  4. Step 4: Simplify right side
    11,874.54x = 145,511,394.65
  5. Step 5: Solve for x
    x = 145,511,394.65/11,874.54
  6. Step 6: Final answer
    x = 12,254.07

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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.