Finding the Fourth Proportional to 2,004.90, 3,006.54 and 771.99
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Solution
The fourth proportional to 2,004.90, 3,006.54 and 771.99 is: 1,157.67
Step by Step Solution
- Step 1: Write the proportion equation
2,004.90 : 3,006.54 = 771.99 : x - Step 2: Convert to fraction form
2,004.90/3,006.54 = 771.99/x - Step 3: Cross multiply
2,004.90x = 3,006.54 × 771.99 - Step 4: Simplify right side
2,004.90x = 2,321,018.81 - Step 5: Solve for x
x = 2,321,018.81/2,004.90 - Step 6: Final answer
x = 1,157.67
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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.