Finding the Fourth Proportional to 10,193,857.81, 14,064,357.09 and 5,782,857.40
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Solution
The fourth proportional to 10,193,857.81, 14,064,357.09 and 5,782,857.40 is: 7,978,546.79
Step by Step Solution
- Step 1: Write the proportion equation
10,193,857.81 : 14,064,357.09 = 5,782,857.40 : x - Step 2: Convert to fraction form
10,193,857.81/14,064,357.09 = 5,782,857.40/x - Step 3: Cross multiply
10,193,857.81x = 14,064,357.09 × 5,782,857.40 - Step 4: Simplify right side
10,193,857.81x = 81,332,171,474,148.97 - Step 5: Solve for x
x = 81,332,171,474,148.97/10,193,857.81 - Step 6: Final answer
x = 7,978,546.79
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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.