Home / 3,204.11-4,805.76-864.30

Finding the Fourth Proportional to 3,204.11, 4,805.76 and 864.30

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Solution

The fourth proportional to 3,204.11, 4,805.76 and 864.30 is: 1,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.11 : 4,805.76 = 864.30 : x
  2. Step 2: Convert to fraction form
    3,204.11/4,805.76 = 864.30/x
  3. Step 3: Cross multiply
    3,204.11x = 4,805.76 × 864.30
  4. Step 4: Simplify right side
    3,204.11x = 4,153,618.37
  5. Step 5: Solve for x
    x = 4,153,618.37/3,204.11
  6. Step 6: Final answer
    x = 1,296.34

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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.