Finding the Fourth Proportional to 32,738, 49,107 and 8,114
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Solution
The fourth proportional to 32,738, 49,107 and 8,114 is: 12,171
Step by Step Solution
- Step 1: Write the proportion equation
32,738 : 49,107 = 8,114 : x - Step 2: Convert to fraction form
32,738/49,107 = 8,114/x - Step 3: Cross multiply
32,738x = 49,107 × 8,114 - Step 4: Simplify right side
32,738x = 398,454,198 - Step 5: Solve for x
x = 398,454,198/32,738 - Step 6: Final answer
x = 12,171
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.