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Finding the Fourth Proportional to 8,206.40, 12,309.70 and 2,659.70

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Solution

The fourth proportional to 8,206.40, 12,309.70 and 2,659.70 is: 3,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.40 : 12,309.70 = 2,659.70 : x
  2. Step 2: Convert to fraction form
    8,206.40/12,309.70 = 2,659.70/x
  3. Step 3: Cross multiply
    8,206.40x = 12,309.70 × 2,659.70
  4. Step 4: Simplify right side
    8,206.40x = 32,740,109.09
  5. Step 5: Solve for x
    x = 32,740,109.09/8,206.40
  6. Step 6: Final answer
    x = 3,989.58

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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.