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Finding the Fourth Proportional to 8,965.69, 13,450.69 and 2,809.69

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Solution

The fourth proportional to 8,965.69, 13,450.69 and 2,809.69 is: 4,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.69 : 13,450.69 = 2,809.69 : x
  2. Step 2: Convert to fraction form
    8,965.69/13,450.69 = 2,809.69/x
  3. Step 3: Cross multiply
    8,965.69x = 13,450.69 × 2,809.69
  4. Step 4: Simplify right side
    8,965.69x = 37,792,239.07
  5. Step 5: Solve for x
    x = 37,792,239.07/8,965.69
  6. Step 6: Final answer
    x = 4,215.21

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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.