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Finding the Fourth Proportional to 22,405, 30,918.90 and 12,469

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Solution

The fourth proportional to 22,405, 30,918.90 and 12,469 is: 17,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405 : 30,918.90 = 12,469 : x
  2. Step 2: Convert to fraction form
    22,405/30,918.90 = 12,469/x
  3. Step 3: Cross multiply
    22,405x = 30,918.90 × 12,469
  4. Step 4: Simplify right side
    22,405x = 385,527,764.10
  5. Step 5: Solve for x
    x = 385,527,764.10/22,405
  6. Step 6: Final answer
    x = 17,207.22

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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.