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Finding the Fourth Proportional to 21,212, 29,272.56 and 13,760

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Solution

The fourth proportional to 21,212, 29,272.56 and 13,760 is: 18,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 29,272.56 = 13,760 : x
  2. Step 2: Convert to fraction form
    21,212/29,272.56 = 13,760/x
  3. Step 3: Cross multiply
    21,212x = 29,272.56 × 13,760
  4. Step 4: Simplify right side
    21,212x = 402,790,425.60
  5. Step 5: Solve for x
    x = 402,790,425.60/21,212
  6. Step 6: Final answer
    x = 18,988.80

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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.