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Finding the Fourth Proportional to 5,190.96, 7,161.24 and 3,771.24

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Solution

The fourth proportional to 5,190.96, 7,161.24 and 3,771.24 is: 5,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.96 : 7,161.24 = 3,771.24 : x
  2. Step 2: Convert to fraction form
    5,190.96/7,161.24 = 3,771.24/x
  3. Step 3: Cross multiply
    5,190.96x = 7,161.24 × 3,771.24
  4. Step 4: Simplify right side
    5,190.96x = 27,006,754.74
  5. Step 5: Solve for x
    x = 27,006,754.74/5,190.96
  6. Step 6: Final answer
    x = 5,202.65

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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.