Finding the Fourth Proportional to 9,741.75, 13,443.62 and 5,550
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Solution
The fourth proportional to 9,741.75, 13,443.62 and 5,550 is: 7,659
Step by Step Solution
- Step 1: Write the proportion equation
9,741.75 : 13,443.62 = 5,550 : x - Step 2: Convert to fraction form
9,741.75/13,443.62 = 5,550/x - Step 3: Cross multiply
9,741.75x = 13,443.62 × 5,550 - Step 4: Simplify right side
9,741.75x = 74,612,063.25 - Step 5: Solve for x
x = 74,612,063.25/9,741.75 - Step 6: Final answer
x = 7,659
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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.