Finding the Fourth Proportional to 7,692.75, 11,539.14 and 3,078.99
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Solution
The fourth proportional to 7,692.75, 11,539.14 and 3,078.99 is: 4,618.49
Step by Step Solution
- Step 1: Write the proportion equation
7,692.75 : 11,539.14 = 3,078.99 : x - Step 2: Convert to fraction form
7,692.75/11,539.14 = 3,078.99/x - Step 3: Cross multiply
7,692.75x = 11,539.14 × 3,078.99 - Step 4: Simplify right side
7,692.75x = 35,528,896.67 - Step 5: Solve for x
x = 35,528,896.67/7,692.75 - Step 6: Final answer
x = 4,618.49
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1.5x scale
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.