Finding the Fourth Proportional to 27,814.32, 41,725.80 and 9,342
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Solution
The fourth proportional to 27,814.32, 41,725.80 and 9,342 is: 14,014.45
Step by Step Solution
- Step 1: Write the proportion equation
27,814.32 : 41,725.80 = 9,342 : x - Step 2: Convert to fraction form
27,814.32/41,725.80 = 9,342/x - Step 3: Cross multiply
27,814.32x = 41,725.80 × 9,342 - Step 4: Simplify right side
27,814.32x = 389,802,423.60 - Step 5: Solve for x
x = 389,802,423.60/27,814.32 - Step 6: Final answer
x = 14,014.45
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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.