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Finding the Fourth Proportional to 21,217, 29,279.62 and 13,263.90

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Solution

The fourth proportional to 21,217, 29,279.62 and 13,263.90 is: 18,304.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,217 : 29,279.62 = 13,263.90 : x
  2. Step 2: Convert to fraction form
    21,217/29,279.62 = 13,263.90/x
  3. Step 3: Cross multiply
    21,217x = 29,279.62 × 13,263.90
  4. Step 4: Simplify right side
    21,217x = 388,361,951.72
  5. Step 5: Solve for x
    x = 388,361,951.72/21,217
  6. Step 6: Final answer
    x = 18,304.28

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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.