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Finding the Fourth Proportional to 3,611.50, 5,408.07 and 3,278.68

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Solution

The fourth proportional to 3,611.50, 5,408.07 and 3,278.68 is: 4,909.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.50 : 5,408.07 = 3,278.68 : x
  2. Step 2: Convert to fraction form
    3,611.50/5,408.07 = 3,278.68/x
  3. Step 3: Cross multiply
    3,611.50x = 5,408.07 × 3,278.68
  4. Step 4: Simplify right side
    3,611.50x = 17,731,330.95
  5. Step 5: Solve for x
    x = 17,731,330.95/3,611.50
  6. Step 6: Final answer
    x = 4,909.69

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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.