Finding the Fourth Proportional to 2,349, 3,523.50 and 810
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Solution
The fourth proportional to 2,349, 3,523.50 and 810 is: 1,215
Step by Step Solution
- Step 1: Write the proportion equation
2,349 : 3,523.50 = 810 : x - Step 2: Convert to fraction form
2,349/3,523.50 = 810/x - Step 3: Cross multiply
2,349x = 3,523.50 × 810 - Step 4: Simplify right side
2,349x = 2,854,035 - Step 5: Solve for x
x = 2,854,035/2,349 - Step 6: Final answer
x = 1,215
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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.