Finding the Fourth Proportional to 11,666,413.40, 16,107,234.08 and 10,440,611.53
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Solution
The fourth proportional to 11,666,413.40, 16,107,234.08 and 10,440,611.53 is: 14,414,830.68
Step by Step Solution
- Step 1: Write the proportion equation
11,666,413.40 : 16,107,234.08 = 10,440,611.53 : x - Step 2: Convert to fraction form
11,666,413.40/16,107,234.08 = 10,440,611.53/x - Step 3: Cross multiply
11,666,413.40x = 16,107,234.08 × 10,440,611.53 - Step 4: Simplify right side
11,666,413.40x = 168,169,373,759,585.78 - Step 5: Solve for x
x = 168,169,373,759,585.78/11,666,413.40 - Step 6: Final answer
x = 14,414,830.68
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.