Finding the Fourth Proportional to 7,706.28, 11,503.62 and 6,772.08
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Solution
The fourth proportional to 7,706.28, 11,503.62 and 6,772.08 is: 10,109.08
Step by Step Solution
- Step 1: Write the proportion equation
7,706.28 : 11,503.62 = 6,772.08 : x - Step 2: Convert to fraction form
7,706.28/11,503.62 = 6,772.08/x - Step 3: Cross multiply
7,706.28x = 11,503.62 × 6,772.08 - Step 4: Simplify right side
7,706.28x = 77,903,434.93 - Step 5: Solve for x
x = 77,903,434.93/7,706.28 - Step 6: Final answer
x = 10,109.08
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.