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Finding the Fourth Proportional to 38,449, 53,060.43 and 21,682

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Solution

The fourth proportional to 38,449, 53,060.43 and 21,682 is: 29,921.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,449 : 53,060.43 = 21,682 : x
  2. Step 2: Convert to fraction form
    38,449/53,060.43 = 21,682/x
  3. Step 3: Cross multiply
    38,449x = 53,060.43 × 21,682
  4. Step 4: Simplify right side
    38,449x = 1,150,456,243.26
  5. Step 5: Solve for x
    x = 1,150,456,243.26/38,449
  6. Step 6: Final answer
    x = 29,921.62

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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.