Finding the Fourth Proportional to 19,584.40, 29,381.46 and 9,184
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Solution
The fourth proportional to 19,584.40, 29,381.46 and 9,184 is: 13,778.28
Step by Step Solution
- Step 1: Write the proportion equation
19,584.40 : 29,381.46 = 9,184 : x - Step 2: Convert to fraction form
19,584.40/29,381.46 = 9,184/x - Step 3: Cross multiply
19,584.40x = 29,381.46 × 9,184 - Step 4: Simplify right side
19,584.40x = 269,839,328.64 - Step 5: Solve for x
x = 269,839,328.64/19,584.40 - Step 6: Final answer
x = 13,778.28
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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.