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Finding the Fourth Proportional to 11,431, 17,146.52 and 3,223

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Solution

The fourth proportional to 11,431, 17,146.52 and 3,223 is: 4,834.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,431 : 17,146.52 = 3,223 : x
  2. Step 2: Convert to fraction form
    11,431/17,146.52 = 3,223/x
  3. Step 3: Cross multiply
    11,431x = 17,146.52 × 3,223
  4. Step 4: Simplify right side
    11,431x = 55,263,233.96
  5. Step 5: Solve for x
    x = 55,263,233.96/11,431
  6. Step 6: Final answer
    x = 4,834.51

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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.