Finding the Fourth Proportional to 49,037.96, 67,684.48 and 27,830
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Solution
The fourth proportional to 49,037.96, 67,684.48 and 27,830 is: 38,412.26
Step by Step Solution
- Step 1: Write the proportion equation
49,037.96 : 67,684.48 = 27,830 : x - Step 2: Convert to fraction form
49,037.96/67,684.48 = 27,830/x - Step 3: Cross multiply
49,037.96x = 67,684.48 × 27,830 - Step 4: Simplify right side
49,037.96x = 1,883,659,078.40 - Step 5: Solve for x
x = 1,883,659,078.40/49,037.96 - Step 6: Final answer
x = 38,412.26
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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.