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Finding the Fourth Proportional to 17,273.78, 23,839.75 and 9,721.95

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Solution

The fourth proportional to 17,273.78, 23,839.75 and 9,721.95 is: 13,417.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273.78 : 23,839.75 = 9,721.95 : x
  2. Step 2: Convert to fraction form
    17,273.78/23,839.75 = 9,721.95/x
  3. Step 3: Cross multiply
    17,273.78x = 23,839.75 × 9,721.95
  4. Step 4: Simplify right side
    17,273.78x = 231,768,857.51
  5. Step 5: Solve for x
    x = 231,768,857.51/17,273.78
  6. Step 6: Final answer
    x = 13,417.38

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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.