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Finding the Fourth Proportional to 3,203.92, 4,805.50 and 864.13

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Solution

The fourth proportional to 3,203.92, 4,805.50 and 864.13 is: 1,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.92 : 4,805.50 = 864.13 : x
  2. Step 2: Convert to fraction form
    3,203.92/4,805.50 = 864.13/x
  3. Step 3: Cross multiply
    3,203.92x = 4,805.50 × 864.13
  4. Step 4: Simplify right side
    3,203.92x = 4,152,576.72
  5. Step 5: Solve for x
    x = 4,152,576.72/3,203.92
  6. Step 6: Final answer
    x = 1,296.09

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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.