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Finding the Fourth Proportional to 11,772.99, 17,645.31 and 5,191.74

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Solution

The fourth proportional to 11,772.99, 17,645.31 and 5,191.74 is: 7,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.99 : 17,645.31 = 5,191.74 : x
  2. Step 2: Convert to fraction form
    11,772.99/17,645.31 = 5,191.74/x
  3. Step 3: Cross multiply
    11,772.99x = 17,645.31 × 5,191.74
  4. Step 4: Simplify right side
    11,772.99x = 91,609,861.74
  5. Step 5: Solve for x
    x = 91,609,861.74/11,772.99
  6. Step 6: Final answer
    x = 7,781.36

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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.