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Finding the Fourth Proportional to 2,813.88, 3,877.74 and 1,984.44

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Solution

The fourth proportional to 2,813.88, 3,877.74 and 1,984.44 is: 2,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.88 : 3,877.74 = 1,984.44 : x
  2. Step 2: Convert to fraction form
    2,813.88/3,877.74 = 1,984.44/x
  3. Step 3: Cross multiply
    2,813.88x = 3,877.74 × 1,984.44
  4. Step 4: Simplify right side
    2,813.88x = 7,695,142.37
  5. Step 5: Solve for x
    x = 7,695,142.37/2,813.88
  6. Step 6: Final answer
    x = 2,734.71

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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.