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Finding the Fourth Proportional to 13,819.18, 19,073.54 and 8,782.41

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Solution

The fourth proportional to 13,819.18, 19,073.54 and 8,782.41 is: 12,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.18 : 19,073.54 = 8,782.41 : x
  2. Step 2: Convert to fraction form
    13,819.18/19,073.54 = 8,782.41/x
  3. Step 3: Cross multiply
    13,819.18x = 19,073.54 × 8,782.41
  4. Step 4: Simplify right side
    13,819.18x = 167,511,604.52
  5. Step 5: Solve for x
    x = 167,511,604.52/13,819.18
  6. Step 6: Final answer
    x = 12,121.68

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1.5x scale

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.