Finding the Fourth Proportional to 11,649,829.40, 16,076,839.20 and 6,493,517.92
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Solution
The fourth proportional to 11,649,829.40, 16,076,839.20 and 6,493,517.92 is: 8,961,096.33
Step by Step Solution
- Step 1: Write the proportion equation
11,649,829.40 : 16,076,839.20 = 6,493,517.92 : x - Step 2: Convert to fraction form
11,649,829.40/16,076,839.20 = 6,493,517.92/x - Step 3: Cross multiply
11,649,829.40x = 16,076,839.20 × 6,493,517.92 - Step 4: Simplify right side
11,649,829.40x = 104,395,243,442,158.45 - Step 5: Solve for x
x = 104,395,243,442,158.45/11,649,829.40 - Step 6: Final answer
x = 8,961,096.33
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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.