Finding the Fourth Proportional to 84.12, 115.14 and 83.76
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Solution
The fourth proportional to 84.12, 115.14 and 83.76 is: 114.65
Step by Step Solution
- Step 1: Write the proportion equation
84.12 : 115.14 = 83.76 : x - Step 2: Convert to fraction form
84.12/115.14 = 83.76/x - Step 3: Cross multiply
84.12x = 115.14 × 83.76 - Step 4: Simplify right side
84.12x = 9,644.13 - Step 5: Solve for x
x = 9,644.13/84.12 - Step 6: Final answer
x = 114.65
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.