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Finding the Fourth Proportional to 11,772.75, 16,246.42 and 6,395.21

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Solution

The fourth proportional to 11,772.75, 16,246.42 and 6,395.21 is: 8,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.75 : 16,246.42 = 6,395.21 : x
  2. Step 2: Convert to fraction form
    11,772.75/16,246.42 = 6,395.21/x
  3. Step 3: Cross multiply
    11,772.75x = 16,246.42 × 6,395.21
  4. Step 4: Simplify right side
    11,772.75x = 103,899,316.26
  5. Step 5: Solve for x
    x = 103,899,316.26/11,772.75
  6. Step 6: Final answer
    x = 8,825.41

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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.