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Finding the Fourth Proportional to 4,620.54, 6,930.81 and 3,986.31

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Solution

The fourth proportional to 4,620.54, 6,930.81 and 3,986.31 is: 5,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.54 : 6,930.81 = 3,986.31 : x
  2. Step 2: Convert to fraction form
    4,620.54/6,930.81 = 3,986.31/x
  3. Step 3: Cross multiply
    4,620.54x = 6,930.81 × 3,986.31
  4. Step 4: Simplify right side
    4,620.54x = 27,628,357.21
  5. Step 5: Solve for x
    x = 27,628,357.21/4,620.54
  6. Step 6: Final answer
    x = 5,979.47

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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.