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Finding the Fourth Proportional to 11,813.94, 17,725.22 and 5,491.74

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Solution

The fourth proportional to 11,813.94, 17,725.22 and 5,491.74 is: 8,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.94 : 17,725.22 = 5,491.74 : x
  2. Step 2: Convert to fraction form
    11,813.94/17,725.22 = 5,491.74/x
  3. Step 3: Cross multiply
    11,813.94x = 17,725.22 × 5,491.74
  4. Step 4: Simplify right side
    11,813.94x = 97,342,272.22
  5. Step 5: Solve for x
    x = 97,342,272.22/11,813.94
  6. Step 6: Final answer
    x = 8,239.61

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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.