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Finding the Fourth Proportional to 8,196.36, 12,298.78 and 3,812.52

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Solution

The fourth proportional to 8,196.36, 12,298.78 and 3,812.52 is: 5,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.36 : 12,298.78 = 3,812.52 : x
  2. Step 2: Convert to fraction form
    8,196.36/12,298.78 = 3,812.52/x
  3. Step 3: Cross multiply
    8,196.36x = 12,298.78 × 3,812.52
  4. Step 4: Simplify right side
    8,196.36x = 46,889,344.73
  5. Step 5: Solve for x
    x = 46,889,344.73/8,196.36
  6. Step 6: Final answer
    x = 5,720.75

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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.