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Finding the Fourth Proportional to 6,485.07, 9,729.90 and 3,200.49

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Solution

The fourth proportional to 6,485.07, 9,729.90 and 3,200.49 is: 4,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.07 : 9,729.90 = 3,200.49 : x
  2. Step 2: Convert to fraction form
    6,485.07/9,729.90 = 3,200.49/x
  3. Step 3: Cross multiply
    6,485.07x = 9,729.90 × 3,200.49
  4. Step 4: Simplify right side
    6,485.07x = 31,140,447.65
  5. Step 5: Solve for x
    x = 31,140,447.65/6,485.07
  6. Step 6: Final answer
    x = 4,801.87

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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.