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Finding the Fourth Proportional to 13,012.74, 19,505.22 and 6,766.44

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Solution

The fourth proportional to 13,012.74, 19,505.22 and 6,766.44 is: 10,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.74 : 19,505.22 = 6,766.44 : x
  2. Step 2: Convert to fraction form
    13,012.74/19,505.22 = 6,766.44/x
  3. Step 3: Cross multiply
    13,012.74x = 19,505.22 × 6,766.44
  4. Step 4: Simplify right side
    13,012.74x = 131,980,900.82
  5. Step 5: Solve for x
    x = 131,980,900.82/13,012.74
  6. Step 6: Final answer
    x = 10,142.44

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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.