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Finding the Fourth Proportional to 3,196.96, 4,411.81 and 1,852.83

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Solution

The fourth proportional to 3,196.96, 4,411.81 and 1,852.83 is: 2,556.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.96 : 4,411.81 = 1,852.83 : x
  2. Step 2: Convert to fraction form
    3,196.96/4,411.81 = 1,852.83/x
  3. Step 3: Cross multiply
    3,196.96x = 4,411.81 × 1,852.83
  4. Step 4: Simplify right side
    3,196.96x = 8,174,311.46
  5. Step 5: Solve for x
    x = 8,174,311.46/3,196.96
  6. Step 6: Final answer
    x = 2,556.90

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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.