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Finding the Fourth Proportional to 8,206, 12,309.06 and 3,822.28

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Solution

The fourth proportional to 8,206, 12,309.06 and 3,822.28 is: 5,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206 : 12,309.06 = 3,822.28 : x
  2. Step 2: Convert to fraction form
    8,206/12,309.06 = 3,822.28/x
  3. Step 3: Cross multiply
    8,206x = 12,309.06 × 3,822.28
  4. Step 4: Simplify right side
    8,206x = 47,048,673.86
  5. Step 5: Solve for x
    x = 47,048,673.86/8,206
  6. Step 6: Final answer
    x = 5,733.45

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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.