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Finding the Fourth Proportional to 3,400.68, 4,692.78 and 1,984.44

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Solution

The fourth proportional to 3,400.68, 4,692.78 and 1,984.44 is: 2,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.68 : 4,692.78 = 1,984.44 : x
  2. Step 2: Convert to fraction form
    3,400.68/4,692.78 = 1,984.44/x
  3. Step 3: Cross multiply
    3,400.68x = 4,692.78 × 1,984.44
  4. Step 4: Simplify right side
    3,400.68x = 9,312,540.34
  5. Step 5: Solve for x
    x = 9,312,540.34/3,400.68
  6. Step 6: Final answer
    x = 2,738.43

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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.