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Finding the Fourth Proportional to 22,919, 31,628.24 and 12,983

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Solution

The fourth proportional to 22,919, 31,628.24 and 12,983 is: 17,916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,919 : 31,628.24 = 12,983 : x
  2. Step 2: Convert to fraction form
    22,919/31,628.24 = 12,983/x
  3. Step 3: Cross multiply
    22,919x = 31,628.24 × 12,983
  4. Step 4: Simplify right side
    22,919x = 410,629,439.92
  5. Step 5: Solve for x
    x = 410,629,439.92/22,919
  6. Step 6: Final answer
    x = 17,916.55

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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.