Finding the Fourth Proportional to 2,537.46, 3,806.78 and 806.09
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Solution
The fourth proportional to 2,537.46, 3,806.78 and 806.09 is: 1,209.31
Step by Step Solution
- Step 1: Write the proportion equation
2,537.46 : 3,806.78 = 806.09 : x - Step 2: Convert to fraction form
2,537.46/3,806.78 = 806.09/x - Step 3: Cross multiply
2,537.46x = 3,806.78 × 806.09 - Step 4: Simplify right side
2,537.46x = 3,068,584.23 - Step 5: Solve for x
x = 3,068,584.23/2,537.46 - Step 6: Final answer
x = 1,209.31
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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.