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Finding the Fourth Proportional to 22,880, 31,571.20 and 12,808.96

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Solution

The fourth proportional to 22,880, 31,571.20 and 12,808.96 is: 17,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880 : 31,571.20 = 12,808.96 : x
  2. Step 2: Convert to fraction form
    22,880/31,571.20 = 12,808.96/x
  3. Step 3: Cross multiply
    22,880x = 31,571.20 × 12,808.96
  4. Step 4: Simplify right side
    22,880x = 404,394,237.95
  5. Step 5: Solve for x
    x = 404,394,237.95/22,880
  6. Step 6: Final answer
    x = 17,674.57

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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.