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Finding the Fourth Proportional to 3,692.80, 5,540.16 and 3,122.56

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Solution

The fourth proportional to 3,692.80, 5,540.16 and 3,122.56 is: 4,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.80 : 5,540.16 = 3,122.56 : x
  2. Step 2: Convert to fraction form
    3,692.80/5,540.16 = 3,122.56/x
  3. Step 3: Cross multiply
    3,692.80x = 5,540.16 × 3,122.56
  4. Step 4: Simplify right side
    3,692.80x = 17,299,482.01
  5. Step 5: Solve for x
    x = 17,299,482.01/3,692.80
  6. Step 6: Final answer
    x = 4,684.65

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1.5x scale

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.