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Finding the Fourth Proportional to 18,198.50, 27,268.50 and 15,282.50

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Solution

The fourth proportional to 18,198.50, 27,268.50 and 15,282.50 is: 22,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198.50 : 27,268.50 = 15,282.50 : x
  2. Step 2: Convert to fraction form
    18,198.50/27,268.50 = 15,282.50/x
  3. Step 3: Cross multiply
    18,198.50x = 27,268.50 × 15,282.50
  4. Step 4: Simplify right side
    18,198.50x = 416,730,851.25
  5. Step 5: Solve for x
    x = 416,730,851.25/18,198.50
  6. Step 6: Final answer
    x = 22,899.19

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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.