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Finding the Fourth Proportional to 8,002.61, 11,998.09 and 3,784.37

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Solution

The fourth proportional to 8,002.61, 11,998.09 and 3,784.37 is: 5,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.61 : 11,998.09 = 3,784.37 : x
  2. Step 2: Convert to fraction form
    8,002.61/11,998.09 = 3,784.37/x
  3. Step 3: Cross multiply
    8,002.61x = 11,998.09 × 3,784.37
  4. Step 4: Simplify right side
    8,002.61x = 45,405,211.85
  5. Step 5: Solve for x
    x = 45,405,211.85/8,002.61
  6. Step 6: Final answer
    x = 5,673.80

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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.