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Finding the Fourth Proportional to 21,200, 29,256 and 12,368

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Solution

The fourth proportional to 21,200, 29,256 and 12,368 is: 17,067.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200 : 29,256 = 12,368 : x
  2. Step 2: Convert to fraction form
    21,200/29,256 = 12,368/x
  3. Step 3: Cross multiply
    21,200x = 29,256 × 12,368
  4. Step 4: Simplify right side
    21,200x = 361,838,208
  5. Step 5: Solve for x
    x = 361,838,208/21,200
  6. Step 6: Final answer
    x = 17,067.84

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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.