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Finding the Fourth Proportional to 13,910, 19,195.82 and 8,321

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Solution

The fourth proportional to 13,910, 19,195.82 and 8,321 is: 11,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910 : 19,195.82 = 8,321 : x
  2. Step 2: Convert to fraction form
    13,910/19,195.82 = 8,321/x
  3. Step 3: Cross multiply
    13,910x = 19,195.82 × 8,321
  4. Step 4: Simplify right side
    13,910x = 159,728,418.22
  5. Step 5: Solve for x
    x = 159,728,418.22/13,910
  6. Step 6: Final answer
    x = 11,482.99

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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.