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Finding the Fourth Proportional to 27,682, 38,201.70 and 16,504

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Solution

The fourth proportional to 27,682, 38,201.70 and 16,504 is: 22,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682 : 38,201.70 = 16,504 : x
  2. Step 2: Convert to fraction form
    27,682/38,201.70 = 16,504/x
  3. Step 3: Cross multiply
    27,682x = 38,201.70 × 16,504
  4. Step 4: Simplify right side
    27,682x = 630,480,856.80
  5. Step 5: Solve for x
    x = 630,480,856.80/27,682
  6. Step 6: Final answer
    x = 22,775.84

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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.