Finding the Fourth Proportional to 31,983,698.09, 47,964,321.75 and 8,948,442.62
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Solution
The fourth proportional to 31,983,698.09, 47,964,321.75 and 8,948,442.62 is: 13,419,523.28
Step by Step Solution
- Step 1: Write the proportion equation
31,983,698.09 : 47,964,321.75 = 8,948,442.62 : x - Step 2: Convert to fraction form
31,983,698.09/47,964,321.75 = 8,948,442.62/x - Step 3: Cross multiply
31,983,698.09x = 47,964,321.75 × 8,948,442.62 - Step 4: Simplify right side
31,983,698.09x = 429,205,980,987,092.94 - Step 5: Solve for x
x = 429,205,980,987,092.94/31,983,698.09 - Step 6: Final answer
x = 13,419,523.28
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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.