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Finding the Fourth Proportional to 12,382.22, 17,083.31 and 7,073.28

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Solution

The fourth proportional to 12,382.22, 17,083.31 and 7,073.28 is: 9,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.22 : 17,083.31 = 7,073.28 : x
  2. Step 2: Convert to fraction form
    12,382.22/17,083.31 = 7,073.28/x
  3. Step 3: Cross multiply
    12,382.22x = 17,083.31 × 7,073.28
  4. Step 4: Simplify right side
    12,382.22x = 120,834,914.17
  5. Step 5: Solve for x
    x = 120,834,914.17/12,382.22
  6. Step 6: Final answer
    x = 9,758.75

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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.