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Finding the Fourth Proportional to 3,675.96, 5,512.86 and 3,638.70

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Solution

The fourth proportional to 3,675.96, 5,512.86 and 3,638.70 is: 5,456.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.96 : 5,512.86 = 3,638.70 : x
  2. Step 2: Convert to fraction form
    3,675.96/5,512.86 = 3,638.70/x
  3. Step 3: Cross multiply
    3,675.96x = 5,512.86 × 3,638.70
  4. Step 4: Simplify right side
    3,675.96x = 20,059,643.68
  5. Step 5: Solve for x
    x = 20,059,643.68/3,675.96
  6. Step 6: Final answer
    x = 5,456.98

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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.