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Finding the Fourth Proportional to 12,072, 18,107.18 and 3,307

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Solution

The fourth proportional to 12,072, 18,107.18 and 3,307 is: 4,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 18,107.18 = 3,307 : x
  2. Step 2: Convert to fraction form
    12,072/18,107.18 = 3,307/x
  3. Step 3: Cross multiply
    12,072x = 18,107.18 × 3,307
  4. Step 4: Simplify right side
    12,072x = 59,880,444.26
  5. Step 5: Solve for x
    x = 59,880,444.26/12,072
  6. Step 6: Final answer
    x = 4,960.28

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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.