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Finding the Fourth Proportional to 3,196.42, 4,410.71 and 1,779.89

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Solution

The fourth proportional to 3,196.42, 4,410.71 and 1,779.89 is: 2,456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.42 : 4,410.71 = 1,779.89 : x
  2. Step 2: Convert to fraction form
    3,196.42/4,410.71 = 1,779.89/x
  3. Step 3: Cross multiply
    3,196.42x = 4,410.71 × 1,779.89
  4. Step 4: Simplify right side
    3,196.42x = 7,850,578.62
  5. Step 5: Solve for x
    x = 7,850,578.62/3,196.42
  6. Step 6: Final answer
    x = 2,456.05

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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.