Finding the Fourth Proportional to 9.42, 14.14 and 6
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Solution
The fourth proportional to 9.42, 14.14 and 6 is: 9.01
Step by Step Solution
- Step 1: Write the proportion equation
9.42 : 14.14 = 6 : x - Step 2: Convert to fraction form
9.42/14.14 = 6/x - Step 3: Cross multiply
9.42x = 14.14 × 6 - Step 4: Simplify right side
9.42x = 84.81 - Step 5: Solve for x
x = 84.81/9.42 - Step 6: Final answer
x = 9.01
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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.