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Finding the Fourth Proportional to 23,986, 33,100.68 and 14,050

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Solution

The fourth proportional to 23,986, 33,100.68 and 14,050 is: 19,389

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986 : 33,100.68 = 14,050 : x
  2. Step 2: Convert to fraction form
    23,986/33,100.68 = 14,050/x
  3. Step 3: Cross multiply
    23,986x = 33,100.68 × 14,050
  4. Step 4: Simplify right side
    23,986x = 465,064,554
  5. Step 5: Solve for x
    x = 465,064,554/23,986
  6. Step 6: Final answer
    x = 19,389

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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.