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Finding the Fourth Proportional to 8,194.34, 12,290.30 and 2,999

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Solution

The fourth proportional to 8,194.34, 12,290.30 and 2,999 is: 4,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.34 : 12,290.30 = 2,999 : x
  2. Step 2: Convert to fraction form
    8,194.34/12,290.30 = 2,999/x
  3. Step 3: Cross multiply
    8,194.34x = 12,290.30 × 2,999
  4. Step 4: Simplify right side
    8,194.34x = 36,858,609.70
  5. Step 5: Solve for x
    x = 36,858,609.70/8,194.34
  6. Step 6: Final answer
    x = 4,498.06

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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.