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Finding the Fourth Proportional to 12,579.10, 18,847.05 and 8,194.30

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Solution

The fourth proportional to 12,579.10, 18,847.05 and 8,194.30 is: 12,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,579.10 : 18,847.05 = 8,194.30 : x
  2. Step 2: Convert to fraction form
    12,579.10/18,847.05 = 8,194.30/x
  3. Step 3: Cross multiply
    12,579.10x = 18,847.05 × 8,194.30
  4. Step 4: Simplify right side
    12,579.10x = 154,438,381.82
  5. Step 5: Solve for x
    x = 154,438,381.82/12,579.10
  6. Step 6: Final answer
    x = 12,277.38

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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.