Finding the Fourth Proportional to 31,586,004.09, 47,379,006.14 and 11,391,246.09
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Solution
The fourth proportional to 31,586,004.09, 47,379,006.14 and 11,391,246.09 is: 17,086,869.14
Step by Step Solution
- Step 1: Write the proportion equation
31,586,004.09 : 47,379,006.14 = 11,391,246.09 : x - Step 2: Convert to fraction form
31,586,004.09/47,379,006.14 = 11,391,246.09/x - Step 3: Cross multiply
31,586,004.09x = 47,379,006.14 × 11,391,246.09 - Step 4: Simplify right side
31,586,004.09x = 539,705,918,383,404.75 - Step 5: Solve for x
x = 539,705,918,383,404.75/31,586,004.09 - Step 6: Final answer
x = 17,086,869.14
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.