Finding the Fourth Proportional to 2,081.63, 3,122.64 and 542.63
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Solution
The fourth proportional to 2,081.63, 3,122.64 and 542.63 is: 813.99
Step by Step Solution
- Step 1: Write the proportion equation
2,081.63 : 3,122.64 = 542.63 : x - Step 2: Convert to fraction form
2,081.63/3,122.64 = 542.63/x - Step 3: Cross multiply
2,081.63x = 3,122.64 × 542.63 - Step 4: Simplify right side
2,081.63x = 1,694,422.53 - Step 5: Solve for x
x = 1,694,422.53/2,081.63 - Step 6: Final answer
x = 813.99
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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.