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Finding the Fourth Proportional to 29,184, 40,273.92 and 15,936

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Solution

The fourth proportional to 29,184, 40,273.92 and 15,936 is: 21,991.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184 : 40,273.92 = 15,936 : x
  2. Step 2: Convert to fraction form
    29,184/40,273.92 = 15,936/x
  3. Step 3: Cross multiply
    29,184x = 40,273.92 × 15,936
  4. Step 4: Simplify right side
    29,184x = 641,805,189.12
  5. Step 5: Solve for x
    x = 641,805,189.12/29,184
  6. Step 6: Final answer
    x = 21,991.68

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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.