Finding the Fourth Proportional to 1,828, 2,522.68 and 1,000
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Solution
The fourth proportional to 1,828, 2,522.68 and 1,000 is: 1,380.02
Step by Step Solution
- Step 1: Write the proportion equation
1,828 : 2,522.68 = 1,000 : x - Step 2: Convert to fraction form
1,828/2,522.68 = 1,000/x - Step 3: Cross multiply
1,828x = 2,522.68 × 1,000 - Step 4: Simplify right side
1,828x = 2,522,680 - Step 5: Solve for x
x = 2,522,680/1,828 - Step 6: Final answer
x = 1,380.02
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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.