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Finding the Fourth Proportional to 6,429.80, 9,636.18 and 3,309.68

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Solution

The fourth proportional to 6,429.80, 9,636.18 and 3,309.68 is: 4,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.80 : 9,636.18 = 3,309.68 : x
  2. Step 2: Convert to fraction form
    6,429.80/9,636.18 = 3,309.68/x
  3. Step 3: Cross multiply
    6,429.80x = 9,636.18 × 3,309.68
  4. Step 4: Simplify right side
    6,429.80x = 31,892,672.22
  5. Step 5: Solve for x
    x = 31,892,672.22/6,429.80
  6. Step 6: Final answer
    x = 4,960.13

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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.