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Finding the Fourth Proportional to 12,081.95, 16,671.98 and 6,775.75

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Solution

The fourth proportional to 12,081.95, 16,671.98 and 6,775.75 is: 9,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081.95 : 16,671.98 = 6,775.75 : x
  2. Step 2: Convert to fraction form
    12,081.95/16,671.98 = 6,775.75/x
  3. Step 3: Cross multiply
    12,081.95x = 16,671.98 × 6,775.75
  4. Step 4: Simplify right side
    12,081.95x = 112,965,074.37
  5. Step 5: Solve for x
    x = 112,965,074.37/12,081.95
  6. Step 6: Final answer
    x = 9,349.90

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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.