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Finding the Fourth Proportional to 12,819.96, 19,203.02 and 8,137.59

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Solution

The fourth proportional to 12,819.96, 19,203.02 and 8,137.59 is: 12,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.96 : 19,203.02 = 8,137.59 : x
  2. Step 2: Convert to fraction form
    12,819.96/19,203.02 = 8,137.59/x
  3. Step 3: Cross multiply
    12,819.96x = 19,203.02 × 8,137.59
  4. Step 4: Simplify right side
    12,819.96x = 156,266,303.52
  5. Step 5: Solve for x
    x = 156,266,303.52/12,819.96
  6. Step 6: Final answer
    x = 12,189.30

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1.5x scale

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.