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Finding the Fourth Proportional to 13,969.89, 19,278.07 and 7,682.27

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Solution

The fourth proportional to 13,969.89, 19,278.07 and 7,682.27 is: 10,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.89 : 19,278.07 = 7,682.27 : x
  2. Step 2: Convert to fraction form
    13,969.89/19,278.07 = 7,682.27/x
  3. Step 3: Cross multiply
    13,969.89x = 19,278.07 × 7,682.27
  4. Step 4: Simplify right side
    13,969.89x = 148,099,223.22
  5. Step 5: Solve for x
    x = 148,099,223.22/13,969.89
  6. Step 6: Final answer
    x = 10,601.32

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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.