Home / 2,778.12-4,166.46-830.52

Finding the Fourth Proportional to 2,778.12, 4,166.46 and 830.52

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Solution

The fourth proportional to 2,778.12, 4,166.46 and 830.52 is: 1,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.12 : 4,166.46 = 830.52 : x
  2. Step 2: Convert to fraction form
    2,778.12/4,166.46 = 830.52/x
  3. Step 3: Cross multiply
    2,778.12x = 4,166.46 × 830.52
  4. Step 4: Simplify right side
    2,778.12x = 3,460,328.36
  5. Step 5: Solve for x
    x = 3,460,328.36/2,778.12
  6. Step 6: Final answer
    x = 1,245.56

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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.