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Finding the Fourth Proportional to 18,709.25, 25,819.29 and 10,211.91

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Solution

The fourth proportional to 18,709.25, 25,819.29 and 10,211.91 is: 14,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.25 : 25,819.29 = 10,211.91 : x
  2. Step 2: Convert to fraction form
    18,709.25/25,819.29 = 10,211.91/x
  3. Step 3: Cross multiply
    18,709.25x = 25,819.29 × 10,211.91
  4. Step 4: Simplify right side
    18,709.25x = 263,664,168.92
  5. Step 5: Solve for x
    x = 263,664,168.92/18,709.25
  6. Step 6: Final answer
    x = 14,092.72

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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.