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Finding the Fourth Proportional to 13,422, 18,522.36 and 7,833

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Solution

The fourth proportional to 13,422, 18,522.36 and 7,833 is: 10,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422 : 18,522.36 = 7,833 : x
  2. Step 2: Convert to fraction form
    13,422/18,522.36 = 7,833/x
  3. Step 3: Cross multiply
    13,422x = 18,522.36 × 7,833
  4. Step 4: Simplify right side
    13,422x = 145,085,645.88
  5. Step 5: Solve for x
    x = 145,085,645.88/13,422
  6. Step 6: Final answer
    x = 10,809.54

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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.