Finding the Fourth Proportional to 10,227.36, 15,337.44 and 5,724
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Solution
The fourth proportional to 10,227.36, 15,337.44 and 5,724 is: 8,583.99
Step by Step Solution
- Step 1: Write the proportion equation
10,227.36 : 15,337.44 = 5,724 : x - Step 2: Convert to fraction form
10,227.36/15,337.44 = 5,724/x - Step 3: Cross multiply
10,227.36x = 15,337.44 × 5,724 - Step 4: Simplify right side
10,227.36x = 87,791,506.56 - Step 5: Solve for x
x = 87,791,506.56/10,227.36 - Step 6: Final answer
x = 8,583.99
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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.