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Finding the Fourth Proportional to 18,075, 27,112.50 and 6,986.64

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Solution

The fourth proportional to 18,075, 27,112.50 and 6,986.64 is: 10,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,075 : 27,112.50 = 6,986.64 : x
  2. Step 2: Convert to fraction form
    18,075/27,112.50 = 6,986.64/x
  3. Step 3: Cross multiply
    18,075x = 27,112.50 × 6,986.64
  4. Step 4: Simplify right side
    18,075x = 189,425,277
  5. Step 5: Solve for x
    x = 189,425,277/18,075
  6. Step 6: Final answer
    x = 10,479.96

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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.