Finding the Fourth Proportional to 1,648.10, 2,274.38 and 902.09
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Solution
The fourth proportional to 1,648.10, 2,274.38 and 902.09 is: 1,244.88
Step by Step Solution
- Step 1: Write the proportion equation
1,648.10 : 2,274.38 = 902.09 : x - Step 2: Convert to fraction form
1,648.10/2,274.38 = 902.09/x - Step 3: Cross multiply
1,648.10x = 2,274.38 × 902.09 - Step 4: Simplify right side
1,648.10x = 2,051,687.22 - Step 5: Solve for x
x = 2,051,687.22/1,648.10 - Step 6: Final answer
x = 1,244.88
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1.5x scale
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.