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Finding the Fourth Proportional to 21,348, 29,448 and 12,394.36

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Solution

The fourth proportional to 21,348, 29,448 and 12,394.36 is: 17,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 29,448 = 12,394.36 : x
  2. Step 2: Convert to fraction form
    21,348/29,448 = 12,394.36/x
  3. Step 3: Cross multiply
    21,348x = 29,448 × 12,394.36
  4. Step 4: Simplify right side
    21,348x = 364,989,113.28
  5. Step 5: Solve for x
    x = 364,989,113.28/21,348
  6. Step 6: Final answer
    x = 17,097.11

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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.