Finding the Fourth Proportional to 2,122.31, 3,183.56 and 583.31
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Solution
The fourth proportional to 2,122.31, 3,183.56 and 583.31 is: 874.99
Step by Step Solution
- Step 1: Write the proportion equation
2,122.31 : 3,183.56 = 583.31 : x - Step 2: Convert to fraction form
2,122.31/3,183.56 = 583.31/x - Step 3: Cross multiply
2,122.31x = 3,183.56 × 583.31 - Step 4: Simplify right side
2,122.31x = 1,857,002.38 - Step 5: Solve for x
x = 1,857,002.38/2,122.31 - Step 6: Final answer
x = 874.99
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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.