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Finding the Fourth Proportional to 3,890.72, 5,834.10 and 2,779.44

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Solution

The fourth proportional to 3,890.72, 5,834.10 and 2,779.44 is: 4,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.72 : 5,834.10 = 2,779.44 : x
  2. Step 2: Convert to fraction form
    3,890.72/5,834.10 = 2,779.44/x
  3. Step 3: Cross multiply
    3,890.72x = 5,834.10 × 2,779.44
  4. Step 4: Simplify right side
    3,890.72x = 16,215,530.90
  5. Step 5: Solve for x
    x = 16,215,530.90/3,890.72
  6. Step 6: Final answer
    x = 4,167.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.