Finding the Fourth Proportional to 2,574.98, 3,861.00 and 819.64
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Solution
The fourth proportional to 2,574.98, 3,861.00 and 819.64 is: 1,228.99
Step by Step Solution
- Step 1: Write the proportion equation
2,574.98 : 3,861.00 = 819.64 : x - Step 2: Convert to fraction form
2,574.98/3,861.00 = 819.64/x - Step 3: Cross multiply
2,574.98x = 3,861.00 × 819.64 - Step 4: Simplify right side
2,574.98x = 3,164,625.94 - Step 5: Solve for x
x = 3,164,625.94/2,574.98 - Step 6: Final answer
x = 1,228.99
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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.