Home / 2,778.22-4,166.85-829.90

Finding the Fourth Proportional to 2,778.22, 4,166.85 and 829.90

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Solution

The fourth proportional to 2,778.22, 4,166.85 and 829.90 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.22 : 4,166.85 = 829.90 : x
  2. Step 2: Convert to fraction form
    2,778.22/4,166.85 = 829.90/x
  3. Step 3: Cross multiply
    2,778.22x = 4,166.85 × 829.90
  4. Step 4: Simplify right side
    2,778.22x = 3,458,068.82
  5. Step 5: Solve for x
    x = 3,458,068.82/2,778.22
  6. Step 6: Final answer
    x = 1,244.71

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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.