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Finding the Fourth Proportional to 4,321.30, 6,469.80 and 4,199.80

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Solution

The fourth proportional to 4,321.30, 6,469.80 and 4,199.80 is: 6,287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.30 : 6,469.80 = 4,199.80 : x
  2. Step 2: Convert to fraction form
    4,321.30/6,469.80 = 4,199.80/x
  3. Step 3: Cross multiply
    4,321.30x = 6,469.80 × 4,199.80
  4. Step 4: Simplify right side
    4,321.30x = 27,171,866.04
  5. Step 5: Solve for x
    x = 27,171,866.04/4,321.30
  6. Step 6: Final answer
    x = 6,287.89

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1.5x scale

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.