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Finding the Fourth Proportional to 21,905.82, 30,230.01 and 11,969.82

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Solution

The fourth proportional to 21,905.82, 30,230.01 and 11,969.82 is: 16,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.82 : 30,230.01 = 11,969.82 : x
  2. Step 2: Convert to fraction form
    21,905.82/30,230.01 = 11,969.82/x
  3. Step 3: Cross multiply
    21,905.82x = 30,230.01 × 11,969.82
  4. Step 4: Simplify right side
    21,905.82x = 361,847,778.30
  5. Step 5: Solve for x
    x = 361,847,778.30/21,905.82
  6. Step 6: Final answer
    x = 16,518.34

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1.5x scale

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.