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Finding the Fourth Proportional to 11,275.44, 16,900.38 and 8,144.39

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Solution

The fourth proportional to 11,275.44, 16,900.38 and 8,144.39 is: 12,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.44 : 16,900.38 = 8,144.39 : x
  2. Step 2: Convert to fraction form
    11,275.44/16,900.38 = 8,144.39/x
  3. Step 3: Cross multiply
    11,275.44x = 16,900.38 × 8,144.39
  4. Step 4: Simplify right side
    11,275.44x = 137,643,201.37
  5. Step 5: Solve for x
    x = 137,643,201.37/11,275.44
  6. Step 6: Final answer
    x = 12,207.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.