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Finding the Fourth Proportional to 12,207.90, 18,311.94 and 8,074.02

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Solution

The fourth proportional to 12,207.90, 18,311.94 and 8,074.02 is: 12,111.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.90 : 18,311.94 = 8,074.02 : x
  2. Step 2: Convert to fraction form
    12,207.90/18,311.94 = 8,074.02/x
  3. Step 3: Cross multiply
    12,207.90x = 18,311.94 × 8,074.02
  4. Step 4: Simplify right side
    12,207.90x = 147,850,969.80
  5. Step 5: Solve for x
    x = 147,850,969.80/12,207.90
  6. Step 6: Final answer
    x = 12,111.09

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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.