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Finding the Fourth Proportional to 3,923.67, 5,408.16 and 3,819.79

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Solution

The fourth proportional to 3,923.67, 5,408.16 and 3,819.79 is: 5,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.67 : 5,408.16 = 3,819.79 : x
  2. Step 2: Convert to fraction form
    3,923.67/5,408.16 = 3,819.79/x
  3. Step 3: Cross multiply
    3,923.67x = 5,408.16 × 3,819.79
  4. Step 4: Simplify right side
    3,923.67x = 20,658,035.49
  5. Step 5: Solve for x
    x = 20,658,035.49/3,923.67
  6. Step 6: Final answer
    x = 5,264.98

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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.