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Finding the Fourth Proportional to 20,198.88, 30,284.26 and 8,948.11

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Solution

The fourth proportional to 20,198.88, 30,284.26 and 8,948.11 is: 13,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198.88 : 30,284.26 = 8,948.11 : x
  2. Step 2: Convert to fraction form
    20,198.88/30,284.26 = 8,948.11/x
  3. Step 3: Cross multiply
    20,198.88x = 30,284.26 × 8,948.11
  4. Step 4: Simplify right side
    20,198.88x = 270,986,889.75
  5. Step 5: Solve for x
    x = 270,986,889.75/20,198.88
  6. Step 6: Final answer
    x = 13,415.94

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1.5x scale

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.