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Finding the Fourth Proportional to 12,828.09, 17,695.09 and 7,789.76

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Solution

The fourth proportional to 12,828.09, 17,695.09 and 7,789.76 is: 10,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828.09 : 17,695.09 = 7,789.76 : x
  2. Step 2: Convert to fraction form
    12,828.09/17,695.09 = 7,789.76/x
  3. Step 3: Cross multiply
    12,828.09x = 17,695.09 × 7,789.76
  4. Step 4: Simplify right side
    12,828.09x = 137,840,504.28
  5. Step 5: Solve for x
    x = 137,840,504.28/12,828.09
  6. Step 6: Final answer
    x = 10,745.21

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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.