Finding the Fourth Proportional to 3,896, 5,844 and 1,160
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Solution
The fourth proportional to 3,896, 5,844 and 1,160 is: 1,740
Step by Step Solution
- Step 1: Write the proportion equation
3,896 : 5,844 = 1,160 : x - Step 2: Convert to fraction form
3,896/5,844 = 1,160/x - Step 3: Cross multiply
3,896x = 5,844 × 1,160 - Step 4: Simplify right side
3,896x = 6,779,040 - Step 5: Solve for x
x = 6,779,040/3,896 - Step 6: Final answer
x = 1,740
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.