Finding the Fourth Proportional to 83,983.74, 125,982.30 and 27,821.58
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Solution
The fourth proportional to 83,983.74, 125,982.30 and 27,821.58 is: 41,734.59
Step by Step Solution
- Step 1: Write the proportion equation
83,983.74 : 125,982.30 = 27,821.58 : x - Step 2: Convert to fraction form
83,983.74/125,982.30 = 27,821.58/x - Step 3: Cross multiply
83,983.74x = 125,982.30 × 27,821.58 - Step 4: Simplify right side
83,983.74x = 3,505,026,638.03 - Step 5: Solve for x
x = 3,505,026,638.03/83,983.74 - Step 6: Final answer
x = 41,734.59
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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.