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Finding the Fourth Proportional to 11,920, 17,880 and 8,168.08

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Solution

The fourth proportional to 11,920, 17,880 and 8,168.08 is: 12,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920 : 17,880 = 8,168.08 : x
  2. Step 2: Convert to fraction form
    11,920/17,880 = 8,168.08/x
  3. Step 3: Cross multiply
    11,920x = 17,880 × 8,168.08
  4. Step 4: Simplify right side
    11,920x = 146,045,270.40
  5. Step 5: Solve for x
    x = 146,045,270.40/11,920
  6. Step 6: Final answer
    x = 12,252.12

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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.