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Finding the Fourth Proportional to 6,326.40, 9,475.20 and 3,244.80

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Solution

The fourth proportional to 6,326.40, 9,475.20 and 3,244.80 is: 4,859.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.40 : 9,475.20 = 3,244.80 : x
  2. Step 2: Convert to fraction form
    6,326.40/9,475.20 = 3,244.80/x
  3. Step 3: Cross multiply
    6,326.40x = 9,475.20 × 3,244.80
  4. Step 4: Simplify right side
    6,326.40x = 30,745,128.96
  5. Step 5: Solve for x
    x = 30,745,128.96/6,326.40
  6. Step 6: Final answer
    x = 4,859.81

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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.