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Finding the Fourth Proportional to 8,070, 12,105 and 3,206

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Solution

The fourth proportional to 8,070, 12,105 and 3,206 is: 4,809

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 12,105 = 3,206 : x
  2. Step 2: Convert to fraction form
    8,070/12,105 = 3,206/x
  3. Step 3: Cross multiply
    8,070x = 12,105 × 3,206
  4. Step 4: Simplify right side
    8,070x = 38,808,630
  5. Step 5: Solve for x
    x = 38,808,630/8,070
  6. Step 6: Final answer
    x = 4,809

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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.