Finding the Fourth Proportional to 10,163.68, 14,023.20 and 6,183.76
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Solution
The fourth proportional to 10,163.68, 14,023.20 and 6,183.76 is: 8,531.96
Step by Step Solution
- Step 1: Write the proportion equation
10,163.68 : 14,023.20 = 6,183.76 : x - Step 2: Convert to fraction form
10,163.68/14,023.20 = 6,183.76/x - Step 3: Cross multiply
10,163.68x = 14,023.20 × 6,183.76 - Step 4: Simplify right side
10,163.68x = 86,716,103.23 - Step 5: Solve for x
x = 86,716,103.23/10,163.68 - Step 6: Final answer
x = 8,531.96
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1.5x scale
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.