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Finding the Fourth Proportional to 22,668.75, 31,282.92 and 12,732.75

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Solution

The fourth proportional to 22,668.75, 31,282.92 and 12,732.75 is: 17,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,668.75 : 31,282.92 = 12,732.75 : x
  2. Step 2: Convert to fraction form
    22,668.75/31,282.92 = 12,732.75/x
  3. Step 3: Cross multiply
    22,668.75x = 31,282.92 × 12,732.75
  4. Step 4: Simplify right side
    22,668.75x = 398,317,599.63
  5. Step 5: Solve for x
    x = 398,317,599.63/22,668.75
  6. Step 6: Final answer
    x = 17,571.22

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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.