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Finding the Fourth Proportional to 21,829.44, 32,723.84 and 7,968

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Solution

The fourth proportional to 21,829.44, 32,723.84 and 7,968 is: 11,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.44 : 32,723.84 = 7,968 : x
  2. Step 2: Convert to fraction form
    21,829.44/32,723.84 = 7,968/x
  3. Step 3: Cross multiply
    21,829.44x = 32,723.84 × 7,968
  4. Step 4: Simplify right side
    21,829.44x = 260,743,557.12
  5. Step 5: Solve for x
    x = 260,743,557.12/21,829.44
  6. Step 6: Final answer
    x = 11,944.58

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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.