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Finding the Fourth Proportional to 2,684.80, 4,027.02 and 835.78

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Solution

The fourth proportional to 2,684.80, 4,027.02 and 835.78 is: 1,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.80 : 4,027.02 = 835.78 : x
  2. Step 2: Convert to fraction form
    2,684.80/4,027.02 = 835.78/x
  3. Step 3: Cross multiply
    2,684.80x = 4,027.02 × 835.78
  4. Step 4: Simplify right side
    2,684.80x = 3,365,702.78
  5. Step 5: Solve for x
    x = 3,365,702.78/2,684.80
  6. Step 6: Final answer
    x = 1,253.61

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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.