Finding the Fourth Proportional to 2,974, 4,461 and 922
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Solution
The fourth proportional to 2,974, 4,461 and 922 is: 1,383
Step by Step Solution
- Step 1: Write the proportion equation
2,974 : 4,461 = 922 : x - Step 2: Convert to fraction form
2,974/4,461 = 922/x - Step 3: Cross multiply
2,974x = 4,461 × 922 - Step 4: Simplify right side
2,974x = 4,113,042 - Step 5: Solve for x
x = 4,113,042/2,974 - Step 6: Final answer
x = 1,383
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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.