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Finding the Fourth Proportional to 3,697.96, 5,530.74 and 3,218.44

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Solution

The fourth proportional to 3,697.96, 5,530.74 and 3,218.44 is: 4,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.96 : 5,530.74 = 3,218.44 : x
  2. Step 2: Convert to fraction form
    3,697.96/5,530.74 = 3,218.44/x
  3. Step 3: Cross multiply
    3,697.96x = 5,530.74 × 3,218.44
  4. Step 4: Simplify right side
    3,697.96x = 17,800,354.85
  5. Step 5: Solve for x
    x = 17,800,354.85/3,697.96
  6. Step 6: Final answer
    x = 4,813.56

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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.