Finding the Fourth Proportional to 3,208, 4,812 and 776
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Solution
The fourth proportional to 3,208, 4,812 and 776 is: 1,164
Step by Step Solution
- Step 1: Write the proportion equation
3,208 : 4,812 = 776 : x - Step 2: Convert to fraction form
3,208/4,812 = 776/x - Step 3: Cross multiply
3,208x = 4,812 × 776 - Step 4: Simplify right side
3,208x = 3,734,112 - Step 5: Solve for x
x = 3,734,112/3,208 - Step 6: Final answer
x = 1,164
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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.