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Finding the Fourth Proportional to 5,249.76, 7,238.66 and 3,921.22

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Solution

The fourth proportional to 5,249.76, 7,238.66 and 3,921.22 is: 5,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.76 : 7,238.66 = 3,921.22 : x
  2. Step 2: Convert to fraction form
    5,249.76/7,238.66 = 3,921.22/x
  3. Step 3: Cross multiply
    5,249.76x = 7,238.66 × 3,921.22
  4. Step 4: Simplify right side
    5,249.76x = 28,384,378.37
  5. Step 5: Solve for x
    x = 28,384,378.37/5,249.76
  6. Step 6: Final answer
    x = 5,406.80

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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.