Finding the Fourth Proportional to 10,730.24, 14,811.36 and 6,758
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Solution
The fourth proportional to 10,730.24, 14,811.36 and 6,758 is: 9,328.33
Step by Step Solution
- Step 1: Write the proportion equation
10,730.24 : 14,811.36 = 6,758 : x - Step 2: Convert to fraction form
10,730.24/14,811.36 = 6,758/x - Step 3: Cross multiply
10,730.24x = 14,811.36 × 6,758 - Step 4: Simplify right side
10,730.24x = 100,095,170.88 - Step 5: Solve for x
x = 100,095,170.88/10,730.24 - Step 6: Final answer
x = 9,328.33
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.