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Finding the Fourth Proportional to 39,686, 54,766.68 and 22,022

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Solution

The fourth proportional to 39,686, 54,766.68 and 22,022 is: 30,390.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,686 : 54,766.68 = 22,022 : x
  2. Step 2: Convert to fraction form
    39,686/54,766.68 = 22,022/x
  3. Step 3: Cross multiply
    39,686x = 54,766.68 × 22,022
  4. Step 4: Simplify right side
    39,686x = 1,206,071,826.96
  5. Step 5: Solve for x
    x = 1,206,071,826.96/39,686
  6. Step 6: Final answer
    x = 30,390.36

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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.