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Finding the Fourth Proportional to 3,872.97, 5,803.70 and 3,184.47

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Solution

The fourth proportional to 3,872.97, 5,803.70 and 3,184.47 is: 4,771.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.97 : 5,803.70 = 3,184.47 : x
  2. Step 2: Convert to fraction form
    3,872.97/5,803.70 = 3,184.47/x
  3. Step 3: Cross multiply
    3,872.97x = 5,803.70 × 3,184.47
  4. Step 4: Simplify right side
    3,872.97x = 18,481,692.62
  5. Step 5: Solve for x
    x = 18,481,692.62/3,872.97
  6. Step 6: Final answer
    x = 4,771.97

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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.