Finding the Fourth Proportional to 7,842.43, 10,813.84 and 7,660.99
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Solution
The fourth proportional to 7,842.43, 10,813.84 and 7,660.99 is: 10,563.65
Step by Step Solution
- Step 1: Write the proportion equation
7,842.43 : 10,813.84 = 7,660.99 : x - Step 2: Convert to fraction form
7,842.43/10,813.84 = 7,660.99/x - Step 3: Cross multiply
7,842.43x = 10,813.84 × 7,660.99 - Step 4: Simplify right side
7,842.43x = 82,844,720.10 - Step 5: Solve for x
x = 82,844,720.10/7,842.43 - Step 6: Final answer
x = 10,563.65
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1.5x scale
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.