Finding the Fourth Proportional to 9,821,109.81, 14,706,511.12 and 8,197,842.54
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Solution
The fourth proportional to 9,821,109.81, 14,706,511.12 and 8,197,842.54 is: 12,275,767.69
Step by Step Solution
- Step 1: Write the proportion equation
9,821,109.81 : 14,706,511.12 = 8,197,842.54 : x - Step 2: Convert to fraction form
9,821,109.81/14,706,511.12 = 8,197,842.54/x - Step 3: Cross multiply
9,821,109.81x = 14,706,511.12 × 8,197,842.54 - Step 4: Simplify right side
9,821,109.81x = 120,561,662,474,519.03 - Step 5: Solve for x
x = 120,561,662,474,519.03/9,821,109.81 - Step 6: Final answer
x = 12,275,767.69
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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.