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Finding the Fourth Proportional to 22,812.64, 31,480.24 and 12,876

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Solution

The fourth proportional to 22,812.64, 31,480.24 and 12,876 is: 17,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.64 : 31,480.24 = 12,876 : x
  2. Step 2: Convert to fraction form
    22,812.64/31,480.24 = 12,876/x
  3. Step 3: Cross multiply
    22,812.64x = 31,480.24 × 12,876
  4. Step 4: Simplify right side
    22,812.64x = 405,339,570.24
  5. Step 5: Solve for x
    x = 405,339,570.24/22,812.64
  6. Step 6: Final answer
    x = 17,768.20

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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.