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Finding the Fourth Proportional to 5,652.86, 7,796.32 and 3,979.81

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Solution

The fourth proportional to 5,652.86, 7,796.32 and 3,979.81 is: 5,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.86 : 7,796.32 = 3,979.81 : x
  2. Step 2: Convert to fraction form
    5,652.86/7,796.32 = 3,979.81/x
  3. Step 3: Cross multiply
    5,652.86x = 7,796.32 × 3,979.81
  4. Step 4: Simplify right side
    5,652.86x = 31,027,872.30
  5. Step 5: Solve for x
    x = 31,027,872.30/5,652.86
  6. Step 6: Final answer
    x = 5,488.88

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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.