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Finding the Fourth Proportional to 4,974.48, 6,864.48 and 2,879.28

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Solution

The fourth proportional to 4,974.48, 6,864.48 and 2,879.28 is: 3,973.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.48 : 6,864.48 = 2,879.28 : x
  2. Step 2: Convert to fraction form
    4,974.48/6,864.48 = 2,879.28/x
  3. Step 3: Cross multiply
    4,974.48x = 6,864.48 × 2,879.28
  4. Step 4: Simplify right side
    4,974.48x = 19,764,759.97
  5. Step 5: Solve for x
    x = 19,764,759.97/4,974.48
  6. Step 6: Final answer
    x = 3,973.23

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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.