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Finding the Fourth Proportional to 11,896.32, 16,398 and 10,920

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Solution

The fourth proportional to 11,896.32, 16,398 and 10,920 is: 15,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.32 : 16,398 = 10,920 : x
  2. Step 2: Convert to fraction form
    11,896.32/16,398 = 10,920/x
  3. Step 3: Cross multiply
    11,896.32x = 16,398 × 10,920
  4. Step 4: Simplify right side
    11,896.32x = 179,066,160
  5. Step 5: Solve for x
    x = 179,066,160/11,896.32
  6. Step 6: Final answer
    x = 15,052.23

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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.