Finding the Fourth Proportional to 2,194.32, 3,290 and 733.08
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Solution
The fourth proportional to 2,194.32, 3,290 and 733.08 is: 1,099.13
Step by Step Solution
- Step 1: Write the proportion equation
2,194.32 : 3,290 = 733.08 : x - Step 2: Convert to fraction form
2,194.32/3,290 = 733.08/x - Step 3: Cross multiply
2,194.32x = 3,290 × 733.08 - Step 4: Simplify right side
2,194.32x = 2,411,833.20 - Step 5: Solve for x
x = 2,411,833.20/2,194.32 - Step 6: Final answer
x = 1,099.13
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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.