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Finding the Fourth Proportional to 12,201.18, 16,838.19 and 6,896.22

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Solution

The fourth proportional to 12,201.18, 16,838.19 and 6,896.22 is: 9,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.18 : 16,838.19 = 6,896.22 : x
  2. Step 2: Convert to fraction form
    12,201.18/16,838.19 = 6,896.22/x
  3. Step 3: Cross multiply
    12,201.18x = 16,838.19 × 6,896.22
  4. Step 4: Simplify right side
    12,201.18x = 116,119,862.64
  5. Step 5: Solve for x
    x = 116,119,862.64/12,201.18
  6. Step 6: Final answer
    x = 9,517.10

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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.