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Finding the Fourth Proportional to 18,121.32, 27,223.29 and 12,869.28

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Solution

The fourth proportional to 18,121.32, 27,223.29 and 12,869.28 is: 19,333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121.32 : 27,223.29 = 12,869.28 : x
  2. Step 2: Convert to fraction form
    18,121.32/27,223.29 = 12,869.28/x
  3. Step 3: Cross multiply
    18,121.32x = 27,223.29 × 12,869.28
  4. Step 4: Simplify right side
    18,121.32x = 350,344,141.53
  5. Step 5: Solve for x
    x = 350,344,141.53/18,121.32
  6. Step 6: Final answer
    x = 19,333.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.