Finding the Fourth Proportional to 53,302, 73,563.24 and 30,946
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Solution
The fourth proportional to 53,302, 73,563.24 and 30,946 is: 42,709.24
Step by Step Solution
- Step 1: Write the proportion equation
53,302 : 73,563.24 = 30,946 : x - Step 2: Convert to fraction form
53,302/73,563.24 = 30,946/x - Step 3: Cross multiply
53,302x = 73,563.24 × 30,946 - Step 4: Simplify right side
53,302x = 2,276,488,025.04 - Step 5: Solve for x
x = 2,276,488,025.04/53,302 - Step 6: Final answer
x = 42,709.24
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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.