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Finding the Fourth Proportional to 3,605.74, 5,404.05 and 3,213.90

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Solution

The fourth proportional to 3,605.74, 5,404.05 and 3,213.90 is: 4,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.74 : 5,404.05 = 3,213.90 : x
  2. Step 2: Convert to fraction form
    3,605.74/5,404.05 = 3,213.90/x
  3. Step 3: Cross multiply
    3,605.74x = 5,404.05 × 3,213.90
  4. Step 4: Simplify right side
    3,605.74x = 17,368,076.30
  5. Step 5: Solve for x
    x = 17,368,076.30/3,605.74
  6. Step 6: Final answer
    x = 4,816.79

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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.