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Finding the Fourth Proportional to 3,936.84, 5,432.84 and 2,168.44

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Solution

The fourth proportional to 3,936.84, 5,432.84 and 2,168.44 is: 2,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.84 : 5,432.84 = 2,168.44 : x
  2. Step 2: Convert to fraction form
    3,936.84/5,432.84 = 2,168.44/x
  3. Step 3: Cross multiply
    3,936.84x = 5,432.84 × 2,168.44
  4. Step 4: Simplify right side
    3,936.84x = 11,780,771.28
  5. Step 5: Solve for x
    x = 11,780,771.28/3,936.84
  6. Step 6: Final answer
    x = 2,992.45

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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.