Finding the Fourth Proportional to 5,790, 7,990.74 and 3,306
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Solution
The fourth proportional to 5,790, 7,990.74 and 3,306 is: 4,562.59
Step by Step Solution
- Step 1: Write the proportion equation
5,790 : 7,990.74 = 3,306 : x - Step 2: Convert to fraction form
5,790/7,990.74 = 3,306/x - Step 3: Cross multiply
5,790x = 7,990.74 × 3,306 - Step 4: Simplify right side
5,790x = 26,417,386.44 - Step 5: Solve for x
x = 26,417,386.44/5,790 - Step 6: Final answer
x = 4,562.59
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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.