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Finding the Fourth Proportional to 16,238.56, 22,427.40 and 12,696.70

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Solution

The fourth proportional to 16,238.56, 22,427.40 and 12,696.70 is: 17,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.56 : 22,427.40 = 12,696.70 : x
  2. Step 2: Convert to fraction form
    16,238.56/22,427.40 = 12,696.70/x
  3. Step 3: Cross multiply
    16,238.56x = 22,427.40 × 12,696.70
  4. Step 4: Simplify right side
    16,238.56x = 284,753,969.58
  5. Step 5: Solve for x
    x = 284,753,969.58/16,238.56
  6. Step 6: Final answer
    x = 17,535.67

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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.