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Finding the Fourth Proportional to 6,508.40, 9,764.40 and 3,221.60

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Solution

The fourth proportional to 6,508.40, 9,764.40 and 3,221.60 is: 4,833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.40 : 9,764.40 = 3,221.60 : x
  2. Step 2: Convert to fraction form
    6,508.40/9,764.40 = 3,221.60/x
  3. Step 3: Cross multiply
    6,508.40x = 9,764.40 × 3,221.60
  4. Step 4: Simplify right side
    6,508.40x = 31,456,991.04
  5. Step 5: Solve for x
    x = 31,456,991.04/6,508.40
  6. Step 6: Final answer
    x = 4,833.29

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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.