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Finding the Fourth Proportional to 26,916.47, 40,376.76 and 8,198.10

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Solution

The fourth proportional to 26,916.47, 40,376.76 and 8,198.10 is: 12,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,916.47 : 40,376.76 = 8,198.10 : x
  2. Step 2: Convert to fraction form
    26,916.47/40,376.76 = 8,198.10/x
  3. Step 3: Cross multiply
    26,916.47x = 40,376.76 × 8,198.10
  4. Step 4: Simplify right side
    26,916.47x = 331,012,716.16
  5. Step 5: Solve for x
    x = 331,012,716.16/26,916.47
  6. Step 6: Final answer
    x = 12,297.78

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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.