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Finding the Fourth Proportional to 8,223, 11,369.36 and 7,855.80

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Solution

The fourth proportional to 8,223, 11,369.36 and 7,855.80 is: 10,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223 : 11,369.36 = 7,855.80 : x
  2. Step 2: Convert to fraction form
    8,223/11,369.36 = 7,855.80/x
  3. Step 3: Cross multiply
    8,223x = 11,369.36 × 7,855.80
  4. Step 4: Simplify right side
    8,223x = 89,315,418.29
  5. Step 5: Solve for x
    x = 89,315,418.29/8,223
  6. Step 6: Final answer
    x = 10,861.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.