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Finding the Fourth Proportional to 8,149.42, 11,245.82 and 5,005.00

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Solution

The fourth proportional to 8,149.42, 11,245.82 and 5,005.00 is: 6,906.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.42 : 11,245.82 = 5,005.00 : x
  2. Step 2: Convert to fraction form
    8,149.42/11,245.82 = 5,005.00/x
  3. Step 3: Cross multiply
    8,149.42x = 11,245.82 × 5,005.00
  4. Step 4: Simplify right side
    8,149.42x = 56,285,349.76
  5. Step 5: Solve for x
    x = 56,285,349.76/8,149.42
  6. Step 6: Final answer
    x = 6,906.67

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