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Finding the Fourth Proportional to 22,389, 30,897 and 12,453

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Solution

The fourth proportional to 22,389, 30,897 and 12,453 is: 17,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,389 : 30,897 = 12,453 : x
  2. Step 2: Convert to fraction form
    22,389/30,897 = 12,453/x
  3. Step 3: Cross multiply
    22,389x = 30,897 × 12,453
  4. Step 4: Simplify right side
    22,389x = 384,760,341
  5. Step 5: Solve for x
    x = 384,760,341/22,389
  6. Step 6: Final answer
    x = 17,185.24

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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.