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Finding the Fourth Proportional to 5,218.74, 7,201.89 and 2,828.73

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Solution

The fourth proportional to 5,218.74, 7,201.89 and 2,828.73 is: 3,903.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.74 : 7,201.89 = 2,828.73 : x
  2. Step 2: Convert to fraction form
    5,218.74/7,201.89 = 2,828.73/x
  3. Step 3: Cross multiply
    5,218.74x = 7,201.89 × 2,828.73
  4. Step 4: Simplify right side
    5,218.74x = 20,372,202.30
  5. Step 5: Solve for x
    x = 20,372,202.30/5,218.74
  6. Step 6: Final answer
    x = 3,903.66

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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.