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Finding the Fourth Proportional to 8,309.89, 12,464.88 and 2,069.92

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Solution

The fourth proportional to 8,309.89, 12,464.88 and 2,069.92 is: 3,104.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.89 : 12,464.88 = 2,069.92 : x
  2. Step 2: Convert to fraction form
    8,309.89/12,464.88 = 2,069.92/x
  3. Step 3: Cross multiply
    8,309.89x = 12,464.88 × 2,069.92
  4. Step 4: Simplify right side
    8,309.89x = 25,801,242.09
  5. Step 5: Solve for x
    x = 25,801,242.09/8,309.89
  6. Step 6: Final answer
    x = 3,104.89

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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.