Finding the Fourth Proportional to 7,586.75, 11,382.05 and 2,114.75
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Solution
The fourth proportional to 7,586.75, 11,382.05 and 2,114.75 is: 3,172.66
Step by Step Solution
- Step 1: Write the proportion equation
7,586.75 : 11,382.05 = 2,114.75 : x - Step 2: Convert to fraction form
7,586.75/11,382.05 = 2,114.75/x - Step 3: Cross multiply
7,586.75x = 11,382.05 × 2,114.75 - Step 4: Simplify right side
7,586.75x = 24,070,190.24 - Step 5: Solve for x
x = 24,070,190.24/7,586.75 - Step 6: Final answer
x = 3,172.66
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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.