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Finding the Fourth Proportional to 12,075, 18,112.50 and 3,867

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Solution

The fourth proportional to 12,075, 18,112.50 and 3,867 is: 5,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075 : 18,112.50 = 3,867 : x
  2. Step 2: Convert to fraction form
    12,075/18,112.50 = 3,867/x
  3. Step 3: Cross multiply
    12,075x = 18,112.50 × 3,867
  4. Step 4: Simplify right side
    12,075x = 70,041,037.50
  5. Step 5: Solve for x
    x = 70,041,037.50/12,075
  6. Step 6: Final answer
    x = 5,800.50

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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.