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Finding the Fourth Proportional to 6,379.39, 9,569.09 and 3,476.15

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Solution

The fourth proportional to 6,379.39, 9,569.09 and 3,476.15 is: 5,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.39 : 9,569.09 = 3,476.15 : x
  2. Step 2: Convert to fraction form
    6,379.39/9,569.09 = 3,476.15/x
  3. Step 3: Cross multiply
    6,379.39x = 9,569.09 × 3,476.15
  4. Step 4: Simplify right side
    6,379.39x = 33,263,526.98
  5. Step 5: Solve for x
    x = 33,263,526.98/6,379.39
  6. Step 6: Final answer
    x = 5,214.22

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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.