Home / 2,778.12-4,166.41-829.86

Finding the Fourth Proportional to 2,778.12, 4,166.41 and 829.86

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Solution

The fourth proportional to 2,778.12, 4,166.41 and 829.86 is: 1,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.12 : 4,166.41 = 829.86 : x
  2. Step 2: Convert to fraction form
    2,778.12/4,166.41 = 829.86/x
  3. Step 3: Cross multiply
    2,778.12x = 4,166.41 × 829.86
  4. Step 4: Simplify right side
    2,778.12x = 3,457,537.00
  5. Step 5: Solve for x
    x = 3,457,537.00/2,778.12
  6. Step 6: Final answer
    x = 1,244.56

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1.5x scale

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.