Finding the Fourth Proportional to 8,202.24, 12,303.36 and 6,739.20
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Solution
The fourth proportional to 8,202.24, 12,303.36 and 6,739.20 is: 10,108.80
Step by Step Solution
- Step 1: Write the proportion equation
8,202.24 : 12,303.36 = 6,739.20 : x - Step 2: Convert to fraction form
8,202.24/12,303.36 = 6,739.20/x - Step 3: Cross multiply
8,202.24x = 12,303.36 × 6,739.20 - Step 4: Simplify right side
8,202.24x = 82,914,803.71 - Step 5: Solve for x
x = 82,914,803.71/8,202.24 - Step 6: Final answer
x = 10,108.80
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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.