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Finding the Fourth Proportional to 12,093.78, 16,688.97 and 6,716.43

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Solution

The fourth proportional to 12,093.78, 16,688.97 and 6,716.43 is: 9,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.78 : 16,688.97 = 6,716.43 : x
  2. Step 2: Convert to fraction form
    12,093.78/16,688.97 = 6,716.43/x
  3. Step 3: Cross multiply
    12,093.78x = 16,688.97 × 6,716.43
  4. Step 4: Simplify right side
    12,093.78x = 112,090,298.78
  5. Step 5: Solve for x
    x = 112,090,298.78/12,093.78
  6. Step 6: Final answer
    x = 9,268.43

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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.