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Finding the Fourth Proportional to 30,069, 41,497.14 and 16,821

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Solution

The fourth proportional to 30,069, 41,497.14 and 16,821 is: 23,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,069 : 41,497.14 = 16,821 : x
  2. Step 2: Convert to fraction form
    30,069/41,497.14 = 16,821/x
  3. Step 3: Cross multiply
    30,069x = 41,497.14 × 16,821
  4. Step 4: Simplify right side
    30,069x = 698,023,391.94
  5. Step 5: Solve for x
    x = 698,023,391.94/30,069
  6. Step 6: Final answer
    x = 23,214.05

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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.