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Finding the Fourth Proportional to 3,638.63, 5,016.22 and 3,076.84

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Solution

The fourth proportional to 3,638.63, 5,016.22 and 3,076.84 is: 4,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.63 : 5,016.22 = 3,076.84 : x
  2. Step 2: Convert to fraction form
    3,638.63/5,016.22 = 3,076.84/x
  3. Step 3: Cross multiply
    3,638.63x = 5,016.22 × 3,076.84
  4. Step 4: Simplify right side
    3,638.63x = 15,434,104.92
  5. Step 5: Solve for x
    x = 15,434,104.92/3,638.63
  6. Step 6: Final answer
    x = 4,241.74

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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.