Finding the Fourth Proportional to 10,748.93, 14,836.62 and 6,500
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Solution
The fourth proportional to 10,748.93, 14,836.62 and 6,500 is: 8,971.87
Step by Step Solution
- Step 1: Write the proportion equation
10,748.93 : 14,836.62 = 6,500 : x - Step 2: Convert to fraction form
10,748.93/14,836.62 = 6,500/x - Step 3: Cross multiply
10,748.93x = 14,836.62 × 6,500 - Step 4: Simplify right side
10,748.93x = 96,438,030 - Step 5: Solve for x
x = 96,438,030/10,748.93 - Step 6: Final answer
x = 8,971.87
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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.