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Finding the Fourth Proportional to 2,782, 4,169.42 and 2,083.18

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Solution

The fourth proportional to 2,782, 4,169.42 and 2,083.18 is: 3,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782 : 4,169.42 = 2,083.18 : x
  2. Step 2: Convert to fraction form
    2,782/4,169.42 = 2,083.18/x
  3. Step 3: Cross multiply
    2,782x = 4,169.42 × 2,083.18
  4. Step 4: Simplify right side
    2,782x = 8,685,652.36
  5. Step 5: Solve for x
    x = 8,685,652.36/2,782
  6. Step 6: Final answer
    x = 3,122.09

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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.