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Finding the Fourth Proportional to 13,817.13, 19,067.79 and 7,848.96

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Solution

The fourth proportional to 13,817.13, 19,067.79 and 7,848.96 is: 10,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,817.13 : 19,067.79 = 7,848.96 : x
  2. Step 2: Convert to fraction form
    13,817.13/19,067.79 = 7,848.96/x
  3. Step 3: Cross multiply
    13,817.13x = 19,067.79 × 7,848.96
  4. Step 4: Simplify right side
    13,817.13x = 149,662,321.00
  5. Step 5: Solve for x
    x = 149,662,321.00/13,817.13
  6. Step 6: Final answer
    x = 10,831.65

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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.