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Finding the Fourth Proportional to 2,778.90, 3,833.22 and 1,834.70

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Solution

The fourth proportional to 2,778.90, 3,833.22 and 1,834.70 is: 2,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.90 : 3,833.22 = 1,834.70 : x
  2. Step 2: Convert to fraction form
    2,778.90/3,833.22 = 1,834.70/x
  3. Step 3: Cross multiply
    2,778.90x = 3,833.22 × 1,834.70
  4. Step 4: Simplify right side
    2,778.90x = 7,032,808.73
  5. Step 5: Solve for x
    x = 7,032,808.73/2,778.90
  6. Step 6: Final answer
    x = 2,530.79

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1.5x scale

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.