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Finding the Fourth Proportional to 3,204.49, 4,807.02 and 864.85

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Solution

The fourth proportional to 3,204.49, 4,807.02 and 864.85 is: 1,297.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,204.49 : 4,807.02 = 864.85 : x
  2. Step 2: Convert to fraction form
    3,204.49/4,807.02 = 864.85/x
  3. Step 3: Cross multiply
    3,204.49x = 4,807.02 × 864.85
  4. Step 4: Simplify right side
    3,204.49x = 4,157,351.25
  5. Step 5: Solve for x
    x = 4,157,351.25/3,204.49
  6. Step 6: Final answer
    x = 1,297.35

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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.