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Finding the Fourth Proportional to 5,855.02, 8,078.87 and 3,463.80

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Solution

The fourth proportional to 5,855.02, 8,078.87 and 3,463.80 is: 4,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.02 : 8,078.87 = 3,463.80 : x
  2. Step 2: Convert to fraction form
    5,855.02/8,078.87 = 3,463.80/x
  3. Step 3: Cross multiply
    5,855.02x = 8,078.87 × 3,463.80
  4. Step 4: Simplify right side
    5,855.02x = 27,983,589.91
  5. Step 5: Solve for x
    x = 27,983,589.91/5,855.02
  6. Step 6: Final answer
    x = 4,779.42

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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.