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Finding the Fourth Proportional to 12,759.65, 17,604.09 and 7,721.96

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Solution

The fourth proportional to 12,759.65, 17,604.09 and 7,721.96 is: 10,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759.65 : 17,604.09 = 7,721.96 : x
  2. Step 2: Convert to fraction form
    12,759.65/17,604.09 = 7,721.96/x
  3. Step 3: Cross multiply
    12,759.65x = 17,604.09 × 7,721.96
  4. Step 4: Simplify right side
    12,759.65x = 135,937,990.80
  5. Step 5: Solve for x
    x = 135,937,990.80/12,759.65
  6. Step 6: Final answer
    x = 10,653.74

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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.