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Finding the Fourth Proportional to 21,745, 30,008.10 and 11,809

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Solution

The fourth proportional to 21,745, 30,008.10 and 11,809 is: 16,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745 : 30,008.10 = 11,809 : x
  2. Step 2: Convert to fraction form
    21,745/30,008.10 = 11,809/x
  3. Step 3: Cross multiply
    21,745x = 30,008.10 × 11,809
  4. Step 4: Simplify right side
    21,745x = 354,365,652.90
  5. Step 5: Solve for x
    x = 354,365,652.90/21,745
  6. Step 6: Final answer
    x = 16,296.42

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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.