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Finding the Fourth Proportional to 21,194, 29,248.36 and 11,763.44

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Solution

The fourth proportional to 21,194, 29,248.36 and 11,763.44 is: 16,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194 : 29,248.36 = 11,763.44 : x
  2. Step 2: Convert to fraction form
    21,194/29,248.36 = 11,763.44/x
  3. Step 3: Cross multiply
    21,194x = 29,248.36 × 11,763.44
  4. Step 4: Simplify right side
    21,194x = 344,061,327.96
  5. Step 5: Solve for x
    x = 344,061,327.96/21,194
  6. Step 6: Final answer
    x = 16,233.90

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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.