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Finding the Fourth Proportional to 39,450, 54,441 and 21,786

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Solution

The fourth proportional to 39,450, 54,441 and 21,786 is: 30,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,450 : 54,441 = 21,786 : x
  2. Step 2: Convert to fraction form
    39,450/54,441 = 21,786/x
  3. Step 3: Cross multiply
    39,450x = 54,441 × 21,786
  4. Step 4: Simplify right side
    39,450x = 1,186,051,626
  5. Step 5: Solve for x
    x = 1,186,051,626/39,450
  6. Step 6: Final answer
    x = 30,064.68

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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.