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Finding the Fourth Proportional to 13,490.35, 20,169 and 11,433.35

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Solution

The fourth proportional to 13,490.35, 20,169 and 11,433.35 is: 17,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.35 : 20,169 = 11,433.35 : x
  2. Step 2: Convert to fraction form
    13,490.35/20,169 = 11,433.35/x
  3. Step 3: Cross multiply
    13,490.35x = 20,169 × 11,433.35
  4. Step 4: Simplify right side
    13,490.35x = 230,599,286.57
  5. Step 5: Solve for x
    x = 230,599,286.57/13,490.35
  6. Step 6: Final answer
    x = 17,093.65

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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.