Finding the Fourth Proportional to 2,224, 3,069.36 and 1,396
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Solution
The fourth proportional to 2,224, 3,069.36 and 1,396 is: 1,926.63
Step by Step Solution
- Step 1: Write the proportion equation
2,224 : 3,069.36 = 1,396 : x - Step 2: Convert to fraction form
2,224/3,069.36 = 1,396/x - Step 3: Cross multiply
2,224x = 3,069.36 × 1,396 - Step 4: Simplify right side
2,224x = 4,284,826.56 - Step 5: Solve for x
x = 4,284,826.56/2,224 - Step 6: Final answer
x = 1,926.63
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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.