Finding the Fourth Proportional to 2,518, 3,474.84 and 1,414
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Solution
The fourth proportional to 2,518, 3,474.84 and 1,414 is: 1,951.32
Step by Step Solution
- Step 1: Write the proportion equation
2,518 : 3,474.84 = 1,414 : x - Step 2: Convert to fraction form
2,518/3,474.84 = 1,414/x - Step 3: Cross multiply
2,518x = 3,474.84 × 1,414 - Step 4: Simplify right side
2,518x = 4,913,423.76 - Step 5: Solve for x
x = 4,913,423.76/2,518 - Step 6: Final answer
x = 1,951.32
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.