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Finding the Fourth Proportional to 6,496.98, 8,965.20 and 3,664.80

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Solution

The fourth proportional to 6,496.98, 8,965.20 and 3,664.80 is: 5,057.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.98 : 8,965.20 = 3,664.80 : x
  2. Step 2: Convert to fraction form
    6,496.98/8,965.20 = 3,664.80/x
  3. Step 3: Cross multiply
    6,496.98x = 8,965.20 × 3,664.80
  4. Step 4: Simplify right side
    6,496.98x = 32,855,664.96
  5. Step 5: Solve for x
    x = 32,855,664.96/6,496.98
  6. Step 6: Final answer
    x = 5,057.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.