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Finding the Fourth Proportional to 5,218.79, 7,201.96 and 2,828.77

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Solution

The fourth proportional to 5,218.79, 7,201.96 and 2,828.77 is: 3,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.79 : 7,201.96 = 2,828.77 : x
  2. Step 2: Convert to fraction form
    5,218.79/7,201.96 = 2,828.77/x
  3. Step 3: Cross multiply
    5,218.79x = 7,201.96 × 2,828.77
  4. Step 4: Simplify right side
    5,218.79x = 20,372,663.31
  5. Step 5: Solve for x
    x = 20,372,663.31/5,218.79
  6. Step 6: Final answer
    x = 3,903.71

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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.