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Finding the Fourth Proportional to 3,206.34, 4,425.12 and 1,809

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Solution

The fourth proportional to 3,206.34, 4,425.12 and 1,809 is: 2,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.34 : 4,425.12 = 1,809 : x
  2. Step 2: Convert to fraction form
    3,206.34/4,425.12 = 1,809/x
  3. Step 3: Cross multiply
    3,206.34x = 4,425.12 × 1,809
  4. Step 4: Simplify right side
    3,206.34x = 8,005,042.08
  5. Step 5: Solve for x
    x = 8,005,042.08/3,206.34
  6. Step 6: Final answer
    x = 2,496.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.