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Finding the Fourth Proportional to 3,763.69, 5,642.43 and 3,353.70

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Solution

The fourth proportional to 3,763.69, 5,642.43 and 3,353.70 is: 5,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.69 : 5,642.43 = 3,353.70 : x
  2. Step 2: Convert to fraction form
    3,763.69/5,642.43 = 3,353.70/x
  3. Step 3: Cross multiply
    3,763.69x = 5,642.43 × 3,353.70
  4. Step 4: Simplify right side
    3,763.69x = 18,923,017.49
  5. Step 5: Solve for x
    x = 18,923,017.49/3,763.69
  6. Step 6: Final answer
    x = 5,027.78

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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.