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Finding the Fourth Proportional to 11,811.26, 16,299.23 and 6,778.41

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Solution

The fourth proportional to 11,811.26, 16,299.23 and 6,778.41 is: 9,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.26 : 16,299.23 = 6,778.41 : x
  2. Step 2: Convert to fraction form
    11,811.26/16,299.23 = 6,778.41/x
  3. Step 3: Cross multiply
    11,811.26x = 16,299.23 × 6,778.41
  4. Step 4: Simplify right side
    11,811.26x = 110,482,829.73
  5. Step 5: Solve for x
    x = 110,482,829.73/11,811.26
  6. Step 6: Final answer
    x = 9,354.03

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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.