Finding the Fourth Proportional to 2,002.97, 3,004.63 and 542.09
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Solution
The fourth proportional to 2,002.97, 3,004.63 and 542.09 is: 813.18
Step by Step Solution
- Step 1: Write the proportion equation
2,002.97 : 3,004.63 = 542.09 : x - Step 2: Convert to fraction form
2,002.97/3,004.63 = 542.09/x - Step 3: Cross multiply
2,002.97x = 3,004.63 × 542.09 - Step 4: Simplify right side
2,002.97x = 1,628,786.03 - Step 5: Solve for x
x = 1,628,786.03/2,002.97 - Step 6: Final answer
x = 813.18
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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.