Finding the Fourth Proportional to 1,760, 2,428.80 and 1,024
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Solution
The fourth proportional to 1,760, 2,428.80 and 1,024 is: 1,413.12
Step by Step Solution
- Step 1: Write the proportion equation
1,760 : 2,428.80 = 1,024 : x - Step 2: Convert to fraction form
1,760/2,428.80 = 1,024/x - Step 3: Cross multiply
1,760x = 2,428.80 × 1,024 - Step 4: Simplify right side
1,760x = 2,487,091.20 - Step 5: Solve for x
x = 2,487,091.20/1,760 - Step 6: Final answer
x = 1,413.12
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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.