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Finding the Fourth Proportional to 29,868, 41,217.84 and 16,620

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Solution

The fourth proportional to 29,868, 41,217.84 and 16,620 is: 22,935.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868 : 41,217.84 = 16,620 : x
  2. Step 2: Convert to fraction form
    29,868/41,217.84 = 16,620/x
  3. Step 3: Cross multiply
    29,868x = 41,217.84 × 16,620
  4. Step 4: Simplify right side
    29,868x = 685,040,500.80
  5. Step 5: Solve for x
    x = 685,040,500.80/29,868
  6. Step 6: Final answer
    x = 22,935.60

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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.