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Finding the Fourth Proportional to 8,192.94, 12,289.69 and 2,269.89

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Solution

The fourth proportional to 8,192.94, 12,289.69 and 2,269.89 is: 3,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.94 : 12,289.69 = 2,269.89 : x
  2. Step 2: Convert to fraction form
    8,192.94/12,289.69 = 2,269.89/x
  3. Step 3: Cross multiply
    8,192.94x = 12,289.69 × 2,269.89
  4. Step 4: Simplify right side
    8,192.94x = 27,896,229.05
  5. Step 5: Solve for x
    x = 27,896,229.05/8,192.94
  6. Step 6: Final answer
    x = 3,404.91

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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.