Finding the Fourth Proportional to 27,614.50, 41,421.75 and 6,838
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Solution
The fourth proportional to 27,614.50, 41,421.75 and 6,838 is: 10,257
Step by Step Solution
- Step 1: Write the proportion equation
27,614.50 : 41,421.75 = 6,838 : x - Step 2: Convert to fraction form
27,614.50/41,421.75 = 6,838/x - Step 3: Cross multiply
27,614.50x = 41,421.75 × 6,838 - Step 4: Simplify right side
27,614.50x = 283,241,926.50 - Step 5: Solve for x
x = 283,241,926.50/27,614.50 - Step 6: Final answer
x = 10,257
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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.