Finding the Fourth Proportional to 9,198, 13,764.18 and 7,969.62
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Solution
The fourth proportional to 9,198, 13,764.18 and 7,969.62 is: 11,925.99
Step by Step Solution
- Step 1: Write the proportion equation
9,198 : 13,764.18 = 7,969.62 : x - Step 2: Convert to fraction form
9,198/13,764.18 = 7,969.62/x - Step 3: Cross multiply
9,198x = 13,764.18 × 7,969.62 - Step 4: Simplify right side
9,198x = 109,695,284.21 - Step 5: Solve for x
x = 109,695,284.21/9,198 - Step 6: Final answer
x = 11,925.99
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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.