Finding the Fourth Proportional to 2,292, 3,163.68 and 1,464
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Solution
The fourth proportional to 2,292, 3,163.68 and 1,464 is: 2,020.78
Step by Step Solution
- Step 1: Write the proportion equation
2,292 : 3,163.68 = 1,464 : x - Step 2: Convert to fraction form
2,292/3,163.68 = 1,464/x - Step 3: Cross multiply
2,292x = 3,163.68 × 1,464 - Step 4: Simplify right side
2,292x = 4,631,627.52 - Step 5: Solve for x
x = 4,631,627.52/2,292 - Step 6: Final answer
x = 2,020.78
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.