Finding the Fourth Proportional to 11,649,812.40, 16,076,815.74 and 6,493,500.90
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Solution
The fourth proportional to 11,649,812.40, 16,076,815.74 and 6,493,500.90 is: 8,961,072.84
Step by Step Solution
- Step 1: Write the proportion equation
11,649,812.40 : 16,076,815.74 = 6,493,500.90 : x - Step 2: Convert to fraction form
11,649,812.40/16,076,815.74 = 6,493,500.90/x - Step 3: Cross multiply
11,649,812.40x = 16,076,815.74 × 6,493,500.90 - Step 4: Simplify right side
11,649,812.40x = 104,394,817,476,824.17 - Step 5: Solve for x
x = 104,394,817,476,824.17/11,649,812.40 - Step 6: Final answer
x = 8,961,072.84
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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.