Finding the Fourth Proportional to 3,770, 5,202.60 and 2,114
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Solution
The fourth proportional to 3,770, 5,202.60 and 2,114 is: 2,917.32
Step by Step Solution
- Step 1: Write the proportion equation
3,770 : 5,202.60 = 2,114 : x - Step 2: Convert to fraction form
3,770/5,202.60 = 2,114/x - Step 3: Cross multiply
3,770x = 5,202.60 × 2,114 - Step 4: Simplify right side
3,770x = 10,998,296.40 - Step 5: Solve for x
x = 10,998,296.40/3,770 - Step 6: Final answer
x = 2,917.32
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.