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Finding the Fourth Proportional to 12,072, 18,109.62 and 5,148.12

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Solution

The fourth proportional to 12,072, 18,109.62 and 5,148.12 is: 7,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 18,109.62 = 5,148.12 : x
  2. Step 2: Convert to fraction form
    12,072/18,109.62 = 5,148.12/x
  3. Step 3: Cross multiply
    12,072x = 18,109.62 × 5,148.12
  4. Step 4: Simplify right side
    12,072x = 93,230,496.91
  5. Step 5: Solve for x
    x = 93,230,496.91/12,072
  6. Step 6: Final answer
    x = 7,722.87

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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.