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Finding the Fourth Proportional to 11,847.75, 17,760.69 and 4,447.19

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Solution

The fourth proportional to 11,847.75, 17,760.69 and 4,447.19 is: 6,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.75 : 17,760.69 = 4,447.19 : x
  2. Step 2: Convert to fraction form
    11,847.75/17,760.69 = 4,447.19/x
  3. Step 3: Cross multiply
    11,847.75x = 17,760.69 × 4,447.19
  4. Step 4: Simplify right side
    11,847.75x = 78,985,074.16
  5. Step 5: Solve for x
    x = 78,985,074.16/11,847.75
  6. Step 6: Final answer
    x = 6,666.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.