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Finding the Fourth Proportional to 15,897, 21,936.99 and 8,823

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Solution

The fourth proportional to 15,897, 21,936.99 and 8,823 is: 12,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897 : 21,936.99 = 8,823 : x
  2. Step 2: Convert to fraction form
    15,897/21,936.99 = 8,823/x
  3. Step 3: Cross multiply
    15,897x = 21,936.99 × 8,823
  4. Step 4: Simplify right side
    15,897x = 193,550,062.77
  5. Step 5: Solve for x
    x = 193,550,062.77/15,897
  6. Step 6: Final answer
    x = 12,175.26

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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.