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Finding the Fourth Proportional to 9,198.41, 13,789.32 and 8,919.53

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Solution

The fourth proportional to 9,198.41, 13,789.32 and 8,919.53 is: 13,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.41 : 13,789.32 = 8,919.53 : x
  2. Step 2: Convert to fraction form
    9,198.41/13,789.32 = 8,919.53/x
  3. Step 3: Cross multiply
    9,198.41x = 13,789.32 × 8,919.53
  4. Step 4: Simplify right side
    9,198.41x = 122,994,253.42
  5. Step 5: Solve for x
    x = 122,994,253.42/9,198.41
  6. Step 6: Final answer
    x = 13,371.25

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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.