Finding the Fourth Proportional to 30,837.80, 46,254.32 and 8,650
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Solution
The fourth proportional to 30,837.80, 46,254.32 and 8,650 is: 12,974.33
Step by Step Solution
- Step 1: Write the proportion equation
30,837.80 : 46,254.32 = 8,650 : x - Step 2: Convert to fraction form
30,837.80/46,254.32 = 8,650/x - Step 3: Cross multiply
30,837.80x = 46,254.32 × 8,650 - Step 4: Simplify right side
30,837.80x = 400,099,868 - Step 5: Solve for x
x = 400,099,868/30,837.80 - Step 6: Final answer
x = 12,974.33
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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.