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Finding the Fourth Proportional to 3,879.30, 5,816.02 and 1,932.88

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Solution

The fourth proportional to 3,879.30, 5,816.02 and 1,932.88 is: 2,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.30 : 5,816.02 = 1,932.88 : x
  2. Step 2: Convert to fraction form
    3,879.30/5,816.02 = 1,932.88/x
  3. Step 3: Cross multiply
    3,879.30x = 5,816.02 × 1,932.88
  4. Step 4: Simplify right side
    3,879.30x = 11,241,668.74
  5. Step 5: Solve for x
    x = 11,241,668.74/3,879.30
  6. Step 6: Final answer
    x = 2,897.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.