Finding the Fourth Proportional to 1,612, 2,224.56 and 876
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Solution
The fourth proportional to 1,612, 2,224.56 and 876 is: 1,208.88
Step by Step Solution
- Step 1: Write the proportion equation
1,612 : 2,224.56 = 876 : x - Step 2: Convert to fraction form
1,612/2,224.56 = 876/x - Step 3: Cross multiply
1,612x = 2,224.56 × 876 - Step 4: Simplify right side
1,612x = 1,948,714.56 - Step 5: Solve for x
x = 1,948,714.56/1,612 - Step 6: Final answer
x = 1,208.88
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.