Finding the Fourth Proportional to 6,102, 8,422.68 and 3,894
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Solution
The fourth proportional to 6,102, 8,422.68 and 3,894 is: 5,374.95
Step by Step Solution
- Step 1: Write the proportion equation
6,102 : 8,422.68 = 3,894 : x - Step 2: Convert to fraction form
6,102/8,422.68 = 3,894/x - Step 3: Cross multiply
6,102x = 8,422.68 × 3,894 - Step 4: Simplify right side
6,102x = 32,797,915.92 - Step 5: Solve for x
x = 32,797,915.92/6,102 - Step 6: Final answer
x = 5,374.95
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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.