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Finding the Fourth Proportional to 13,858.94, 19,112.34 and 11,035.62

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Solution

The fourth proportional to 13,858.94, 19,112.34 and 11,035.62 is: 15,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.94 : 19,112.34 = 11,035.62 : x
  2. Step 2: Convert to fraction form
    13,858.94/19,112.34 = 11,035.62/x
  3. Step 3: Cross multiply
    13,858.94x = 19,112.34 × 11,035.62
  4. Step 4: Simplify right side
    13,858.94x = 210,916,521.55
  5. Step 5: Solve for x
    x = 210,916,521.55/13,858.94
  6. Step 6: Final answer
    x = 15,218.81

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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.