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Finding the Fourth Proportional to 12,072, 18,110.56 and 3,751.80

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Solution

The fourth proportional to 12,072, 18,110.56 and 3,751.80 is: 5,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,072 : 18,110.56 = 3,751.80 : x
  2. Step 2: Convert to fraction form
    12,072/18,110.56 = 3,751.80/x
  3. Step 3: Cross multiply
    12,072x = 18,110.56 × 3,751.80
  4. Step 4: Simplify right side
    12,072x = 67,947,199.01
  5. Step 5: Solve for x
    x = 67,947,199.01/12,072
  6. Step 6: Final answer
    x = 5,628.50

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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.