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Finding the Fourth Proportional to 9,144.91, 13,690.63 and 8,269.44

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Solution

The fourth proportional to 9,144.91, 13,690.63 and 8,269.44 is: 12,379.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.91 : 13,690.63 = 8,269.44 : x
  2. Step 2: Convert to fraction form
    9,144.91/13,690.63 = 8,269.44/x
  3. Step 3: Cross multiply
    9,144.91x = 13,690.63 × 8,269.44
  4. Step 4: Simplify right side
    9,144.91x = 113,213,843.35
  5. Step 5: Solve for x
    x = 113,213,843.35/9,144.91
  6. Step 6: Final answer
    x = 12,379.98

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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.