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Finding the Fourth Proportional to 15,968.12, 22,039.79 and 9,257.42

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Solution

The fourth proportional to 15,968.12, 22,039.79 and 9,257.42 is: 12,777.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,968.12 : 22,039.79 = 9,257.42 : x
  2. Step 2: Convert to fraction form
    15,968.12/22,039.79 = 9,257.42/x
  3. Step 3: Cross multiply
    15,968.12x = 22,039.79 × 9,257.42
  4. Step 4: Simplify right side
    15,968.12x = 204,031,436.26
  5. Step 5: Solve for x
    x = 204,031,436.26/15,968.12
  6. Step 6: Final answer
    x = 12,777.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.