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Finding the Fourth Proportional to 12,206, 18,309 and 5,285.36

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Solution

The fourth proportional to 12,206, 18,309 and 5,285.36 is: 7,928.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 18,309 = 5,285.36 : x
  2. Step 2: Convert to fraction form
    12,206/18,309 = 5,285.36/x
  3. Step 3: Cross multiply
    12,206x = 18,309 × 5,285.36
  4. Step 4: Simplify right side
    12,206x = 96,769,656.24
  5. Step 5: Solve for x
    x = 96,769,656.24/12,206
  6. Step 6: Final answer
    x = 7,928.04

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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.