Finding the Fourth Proportional to 1,839.24, 2,756.52 and 864
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Solution
The fourth proportional to 1,839.24, 2,756.52 and 864 is: 1,294.90
Step by Step Solution
- Step 1: Write the proportion equation
1,839.24 : 2,756.52 = 864 : x - Step 2: Convert to fraction form
1,839.24/2,756.52 = 864/x - Step 3: Cross multiply
1,839.24x = 2,756.52 × 864 - Step 4: Simplify right side
1,839.24x = 2,381,633.28 - Step 5: Solve for x
x = 2,381,633.28/1,839.24 - Step 6: Final answer
x = 1,294.90
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.