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Finding the Fourth Proportional to 27,721, 38,254.98 and 16,543

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Solution

The fourth proportional to 27,721, 38,254.98 and 16,543 is: 22,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721 : 38,254.98 = 16,543 : x
  2. Step 2: Convert to fraction form
    27,721/38,254.98 = 16,543/x
  3. Step 3: Cross multiply
    27,721x = 38,254.98 × 16,543
  4. Step 4: Simplify right side
    27,721x = 632,852,134.14
  5. Step 5: Solve for x
    x = 632,852,134.14/27,721
  6. Step 6: Final answer
    x = 22,829.34

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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.