Finding the Fourth Proportional to 3,042.50, 4,563.75 and 734
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Solution
The fourth proportional to 3,042.50, 4,563.75 and 734 is: 1,101
Step by Step Solution
- Step 1: Write the proportion equation
3,042.50 : 4,563.75 = 734 : x - Step 2: Convert to fraction form
3,042.50/4,563.75 = 734/x - Step 3: Cross multiply
3,042.50x = 4,563.75 × 734 - Step 4: Simplify right side
3,042.50x = 3,349,792.50 - Step 5: Solve for x
x = 3,349,792.50/3,042.50 - Step 6: Final answer
x = 1,101
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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.