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Finding the Fourth Proportional to 21,819.88, 32,729.82 and 7,968.88

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Solution

The fourth proportional to 21,819.88, 32,729.82 and 7,968.88 is: 11,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819.88 : 32,729.82 = 7,968.88 : x
  2. Step 2: Convert to fraction form
    21,819.88/32,729.82 = 7,968.88/x
  3. Step 3: Cross multiply
    21,819.88x = 32,729.82 × 7,968.88
  4. Step 4: Simplify right side
    21,819.88x = 260,819,804.51
  5. Step 5: Solve for x
    x = 260,819,804.51/21,819.88
  6. Step 6: Final answer
    x = 11,953.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.