Finding the Fourth Proportional to 2,114.92, 3,173.12 and 945.75
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Solution
The fourth proportional to 2,114.92, 3,173.12 and 945.75 is: 1,418.96
Step by Step Solution
- Step 1: Write the proportion equation
2,114.92 : 3,173.12 = 945.75 : x - Step 2: Convert to fraction form
2,114.92/3,173.12 = 945.75/x - Step 3: Cross multiply
2,114.92x = 3,173.12 × 945.75 - Step 4: Simplify right side
2,114.92x = 3,000,978.24 - Step 5: Solve for x
x = 3,000,978.24/2,114.92 - Step 6: Final answer
x = 1,418.96
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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.