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Finding the Fourth Proportional to 2,207.64, 3,309.12 and 820.08

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Solution

The fourth proportional to 2,207.64, 3,309.12 and 820.08 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.64 : 3,309.12 = 820.08 : x
  2. Step 2: Convert to fraction form
    2,207.64/3,309.12 = 820.08/x
  3. Step 3: Cross multiply
    2,207.64x = 3,309.12 × 820.08
  4. Step 4: Simplify right side
    2,207.64x = 2,713,743.13
  5. Step 5: Solve for x
    x = 2,713,743.13/2,207.64
  6. Step 6: Final answer
    x = 1,229.25

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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.