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Finding the Fourth Proportional to 12,043.75, 16,619.90 and 6,738.57

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Solution

The fourth proportional to 12,043.75, 16,619.90 and 6,738.57 is: 9,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.75 : 16,619.90 = 6,738.57 : x
  2. Step 2: Convert to fraction form
    12,043.75/16,619.90 = 6,738.57/x
  3. Step 3: Cross multiply
    12,043.75x = 16,619.90 × 6,738.57
  4. Step 4: Simplify right side
    12,043.75x = 111,994,376.39
  5. Step 5: Solve for x
    x = 111,994,376.39/12,043.75
  6. Step 6: Final answer
    x = 9,298.96

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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.