Finding the Fourth Proportional to 7,828.70, 11,751.69 and 6,195.74
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Solution
The fourth proportional to 7,828.70, 11,751.69 and 6,195.74 is: 9,300.45
Step by Step Solution
- Step 1: Write the proportion equation
7,828.70 : 11,751.69 = 6,195.74 : x - Step 2: Convert to fraction form
7,828.70/11,751.69 = 6,195.74/x - Step 3: Cross multiply
7,828.70x = 11,751.69 × 6,195.74 - Step 4: Simplify right side
7,828.70x = 72,810,415.80 - Step 5: Solve for x
x = 72,810,415.80/7,828.70 - Step 6: Final answer
x = 9,300.45
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1.5x scale
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.