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Finding the Fourth Proportional to 13,195.50, 19,794.87 and 3,961.50

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Solution

The fourth proportional to 13,195.50, 19,794.87 and 3,961.50 is: 5,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.50 : 19,794.87 = 3,961.50 : x
  2. Step 2: Convert to fraction form
    13,195.50/19,794.87 = 3,961.50/x
  3. Step 3: Cross multiply
    13,195.50x = 19,794.87 × 3,961.50
  4. Step 4: Simplify right side
    13,195.50x = 78,417,377.51
  5. Step 5: Solve for x
    x = 78,417,377.51/13,195.50
  6. Step 6: Final answer
    x = 5,942.74

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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.