Finding the Fourth Proportional to 5,646, 8,472.84 and 1,998
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Solution
The fourth proportional to 5,646, 8,472.84 and 1,998 is: 2,998.36
Step by Step Solution
- Step 1: Write the proportion equation
5,646 : 8,472.84 = 1,998 : x - Step 2: Convert to fraction form
5,646/8,472.84 = 1,998/x - Step 3: Cross multiply
5,646x = 8,472.84 × 1,998 - Step 4: Simplify right side
5,646x = 16,928,734.32 - Step 5: Solve for x
x = 16,928,734.32/5,646 - Step 6: Final answer
x = 2,998.36
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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.