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Finding the Fourth Proportional to 10,103.23, 13,940.83 and 5,854.68

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Solution

The fourth proportional to 10,103.23, 13,940.83 and 5,854.68 is: 8,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.23 : 13,940.83 = 5,854.68 : x
  2. Step 2: Convert to fraction form
    10,103.23/13,940.83 = 5,854.68/x
  3. Step 3: Cross multiply
    10,103.23x = 13,940.83 × 5,854.68
  4. Step 4: Simplify right side
    10,103.23x = 81,619,072.97
  5. Step 5: Solve for x
    x = 81,619,072.97/10,103.23
  6. Step 6: Final answer
    x = 8,078.51

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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.