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Finding the Fourth Proportional to 13,093.70, 19,665.75 and 11,223.86

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Solution

The fourth proportional to 13,093.70, 19,665.75 and 11,223.86 is: 16,857.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.70 : 19,665.75 = 11,223.86 : x
  2. Step 2: Convert to fraction form
    13,093.70/19,665.75 = 11,223.86/x
  3. Step 3: Cross multiply
    13,093.70x = 19,665.75 × 11,223.86
  4. Step 4: Simplify right side
    13,093.70x = 220,725,624.80
  5. Step 5: Solve for x
    x = 220,725,624.80/13,093.70
  6. Step 6: Final answer
    x = 16,857.39

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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.