Home / 2,778.85-3,830-2,422.55

Finding the Fourth Proportional to 2,778.85, 3,830 and 2,422.55

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Solution

The fourth proportional to 2,778.85, 3,830 and 2,422.55 is: 3,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.85 : 3,830 = 2,422.55 : x
  2. Step 2: Convert to fraction form
    2,778.85/3,830 = 2,422.55/x
  3. Step 3: Cross multiply
    2,778.85x = 3,830 × 2,422.55
  4. Step 4: Simplify right side
    2,778.85x = 9,278,366.50
  5. Step 5: Solve for x
    x = 9,278,366.50/2,778.85
  6. Step 6: Final answer
    x = 3,338.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.