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Finding the Fourth Proportional to 4,198.81, 5,795.16 and 2,779.99

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Solution

The fourth proportional to 4,198.81, 5,795.16 and 2,779.99 is: 3,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.81 : 5,795.16 = 2,779.99 : x
  2. Step 2: Convert to fraction form
    4,198.81/5,795.16 = 2,779.99/x
  3. Step 3: Cross multiply
    4,198.81x = 5,795.16 × 2,779.99
  4. Step 4: Simplify right side
    4,198.81x = 16,110,483.67
  5. Step 5: Solve for x
    x = 16,110,483.67/4,198.81
  6. Step 6: Final answer
    x = 3,836.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.