Finding the Fourth Proportional to 31,222.74, 46,807.82 and 14,574
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Solution
The fourth proportional to 31,222.74, 46,807.82 and 14,574 is: 21,848.73
Step by Step Solution
- Step 1: Write the proportion equation
31,222.74 : 46,807.82 = 14,574 : x - Step 2: Convert to fraction form
31,222.74/46,807.82 = 14,574/x - Step 3: Cross multiply
31,222.74x = 46,807.82 × 14,574 - Step 4: Simplify right side
31,222.74x = 682,177,168.68 - Step 5: Solve for x
x = 682,177,168.68/31,222.74 - Step 6: Final answer
x = 21,848.73
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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.