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Finding the Fourth Proportional to 5,204.85, 7,801.80 and 3,230.47

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Solution

The fourth proportional to 5,204.85, 7,801.80 and 3,230.47 is: 4,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.85 : 7,801.80 = 3,230.47 : x
  2. Step 2: Convert to fraction form
    5,204.85/7,801.80 = 3,230.47/x
  3. Step 3: Cross multiply
    5,204.85x = 7,801.80 × 3,230.47
  4. Step 4: Simplify right side
    5,204.85x = 25,203,480.85
  5. Step 5: Solve for x
    x = 25,203,480.85/5,204.85
  6. Step 6: Final answer
    x = 4,842.31

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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.