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Finding the Fourth Proportional to 3,019.43, 4,523.50 and 1,906.45

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Solution

The fourth proportional to 3,019.43, 4,523.50 and 1,906.45 is: 2,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.43 : 4,523.50 = 1,906.45 : x
  2. Step 2: Convert to fraction form
    3,019.43/4,523.50 = 1,906.45/x
  3. Step 3: Cross multiply
    3,019.43x = 4,523.50 × 1,906.45
  4. Step 4: Simplify right side
    3,019.43x = 8,623,825.35
  5. Step 5: Solve for x
    x = 8,623,825.35/3,019.43
  6. Step 6: Final answer
    x = 2,856.11

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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.