Finding the Fourth Proportional to 2,052, 2,832.12 and 1,224
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Solution
The fourth proportional to 2,052, 2,832.12 and 1,224 is: 1,689.33
Step by Step Solution
- Step 1: Write the proportion equation
2,052 : 2,832.12 = 1,224 : x - Step 2: Convert to fraction form
2,052/2,832.12 = 1,224/x - Step 3: Cross multiply
2,052x = 2,832.12 × 1,224 - Step 4: Simplify right side
2,052x = 3,466,514.88 - Step 5: Solve for x
x = 3,466,514.88/2,052 - Step 6: Final answer
x = 1,689.33
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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.