Finding the Fourth Proportional to 2,047.50, 2,825.55 and 1,116
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Solution
The fourth proportional to 2,047.50, 2,825.55 and 1,116 is: 1,540.08
Step by Step Solution
- Step 1: Write the proportion equation
2,047.50 : 2,825.55 = 1,116 : x - Step 2: Convert to fraction form
2,047.50/2,825.55 = 1,116/x - Step 3: Cross multiply
2,047.50x = 2,825.55 × 1,116 - Step 4: Simplify right side
2,047.50x = 3,153,313.80 - Step 5: Solve for x
x = 3,153,313.80/2,047.50 - Step 6: Final answer
x = 1,540.08
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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.