Finding the Fourth Proportional to 9,716,421.20, 14,574,631.80 and 7,826,853.20
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Solution
The fourth proportional to 9,716,421.20, 14,574,631.80 and 7,826,853.20 is: 11,740,279.80
Step by Step Solution
- Step 1: Write the proportion equation
9,716,421.20 : 14,574,631.80 = 7,826,853.20 : x - Step 2: Convert to fraction form
9,716,421.20/14,574,631.80 = 7,826,853.20/x - Step 3: Cross multiply
9,716,421.20x = 14,574,631.80 × 7,826,853.20 - Step 4: Simplify right side
9,716,421.20x = 114,073,503,542,651.77 - Step 5: Solve for x
x = 114,073,503,542,651.77/9,716,421.20 - Step 6: Final answer
x = 11,740,279.80
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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.