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Finding the Fourth Proportional to 21,894, 30,213.75 and 12,462.57

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Solution

The fourth proportional to 21,894, 30,213.75 and 12,462.57 is: 17,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894 : 30,213.75 = 12,462.57 : x
  2. Step 2: Convert to fraction form
    21,894/30,213.75 = 12,462.57/x
  3. Step 3: Cross multiply
    21,894x = 30,213.75 × 12,462.57
  4. Step 4: Simplify right side
    21,894x = 376,540,974.34
  5. Step 5: Solve for x
    x = 376,540,974.34/21,894
  6. Step 6: Final answer
    x = 17,198.36

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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.