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Finding the Fourth Proportional to 3,781.96, 5,223.09 and 3,369.67

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Solution

The fourth proportional to 3,781.96, 5,223.09 and 3,369.67 is: 4,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.96 : 5,223.09 = 3,369.67 : x
  2. Step 2: Convert to fraction form
    3,781.96/5,223.09 = 3,369.67/x
  3. Step 3: Cross multiply
    3,781.96x = 5,223.09 × 3,369.67
  4. Step 4: Simplify right side
    3,781.96x = 17,600,089.68
  5. Step 5: Solve for x
    x = 17,600,089.68/3,781.96
  6. Step 6: Final answer
    x = 4,653.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.