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Finding the Fourth Proportional to 19,212.46, 28,821.76 and 8,119.24

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Solution

The fourth proportional to 19,212.46, 28,821.76 and 8,119.24 is: 12,180.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212.46 : 28,821.76 = 8,119.24 : x
  2. Step 2: Convert to fraction form
    19,212.46/28,821.76 = 8,119.24/x
  3. Step 3: Cross multiply
    19,212.46x = 28,821.76 × 8,119.24
  4. Step 4: Simplify right side
    19,212.46x = 234,010,694.31
  5. Step 5: Solve for x
    x = 234,010,694.31/19,212.46
  6. Step 6: Final answer
    x = 12,180.15

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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.