Finding the Fourth Proportional to 7,822,498.12, 11,731,345.26 and 5,409,157.68
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Solution
The fourth proportional to 7,822,498.12, 11,731,345.26 and 5,409,157.68 is: 8,112,075.62
Step by Step Solution
- Step 1: Write the proportion equation
7,822,498.12 : 11,731,345.26 = 5,409,157.68 : x - Step 2: Convert to fraction form
7,822,498.12/11,731,345.26 = 5,409,157.68/x - Step 3: Cross multiply
7,822,498.12x = 11,731,345.26 × 5,409,157.68 - Step 4: Simplify right side
7,822,498.12x = 63,456,696,309,860.59 - Step 5: Solve for x
x = 63,456,696,309,860.59/7,822,498.12 - Step 6: Final answer
x = 8,112,075.62
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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.