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Finding the Fourth Proportional to 13,213.14, 19,813.94 and 4,999.38

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Solution

The fourth proportional to 13,213.14, 19,813.94 and 4,999.38 is: 7,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.14 : 19,813.94 = 4,999.38 : x
  2. Step 2: Convert to fraction form
    13,213.14/19,813.94 = 4,999.38/x
  3. Step 3: Cross multiply
    13,213.14x = 19,813.94 × 4,999.38
  4. Step 4: Simplify right side
    13,213.14x = 99,057,415.36
  5. Step 5: Solve for x
    x = 99,057,415.36/13,213.14
  6. Step 6: Final answer
    x = 7,496.89

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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.