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Finding the Fourth Proportional to 12,042.92, 16,620.05 and 6,738.23

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Solution

The fourth proportional to 12,042.92, 16,620.05 and 6,738.23 is: 9,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042.92 : 16,620.05 = 6,738.23 : x
  2. Step 2: Convert to fraction form
    12,042.92/16,620.05 = 6,738.23/x
  3. Step 3: Cross multiply
    12,042.92x = 16,620.05 × 6,738.23
  4. Step 4: Simplify right side
    12,042.92x = 111,989,685.82
  5. Step 5: Solve for x
    x = 111,989,685.82/12,042.92
  6. Step 6: Final answer
    x = 9,299.21

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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.