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Finding the Fourth Proportional to 8,206, 12,303 and 3,011.92

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Solution

The fourth proportional to 8,206, 12,303 and 3,011.92 is: 4,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 12,303 = 3,011.92 : x
  2. Step 2: Convert to fraction form
    8,206/12,303 = 3,011.92/x
  3. Step 3: Cross multiply
    8,206x = 12,303 × 3,011.92
  4. Step 4: Simplify right side
    8,206x = 37,055,651.76
  5. Step 5: Solve for x
    x = 37,055,651.76/8,206
  6. Step 6: Final answer
    x = 4,515.68

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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.