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Finding the Fourth Proportional to 8,206.15, 12,309.39 and 2,659.48

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Solution

The fourth proportional to 8,206.15, 12,309.39 and 2,659.48 is: 3,989.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.15 : 12,309.39 = 2,659.48 : x
  2. Step 2: Convert to fraction form
    8,206.15/12,309.39 = 2,659.48/x
  3. Step 3: Cross multiply
    8,206.15x = 12,309.39 × 2,659.48
  4. Step 4: Simplify right side
    8,206.15x = 32,736,622.46
  5. Step 5: Solve for x
    x = 32,736,622.46/8,206.15
  6. Step 6: Final answer
    x = 3,989.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.