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Finding the Fourth Proportional to 13,141.62, 19,721.07 and 6,212.34

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Solution

The fourth proportional to 13,141.62, 19,721.07 and 6,212.34 is: 9,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.62 : 19,721.07 = 6,212.34 : x
  2. Step 2: Convert to fraction form
    13,141.62/19,721.07 = 6,212.34/x
  3. Step 3: Cross multiply
    13,141.62x = 19,721.07 × 6,212.34
  4. Step 4: Simplify right side
    13,141.62x = 122,513,992.00
  5. Step 5: Solve for x
    x = 122,513,992.00/13,141.62
  6. Step 6: Final answer
    x = 9,322.59

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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.