Finding the Fourth Proportional to 7,774.24, 11,707.84 and 6,811.96
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Solution
The fourth proportional to 7,774.24, 11,707.84 and 6,811.96 is: 10,258.67
Step by Step Solution
- Step 1: Write the proportion equation
7,774.24 : 11,707.84 = 6,811.96 : x - Step 2: Convert to fraction form
7,774.24/11,707.84 = 6,811.96/x - Step 3: Cross multiply
7,774.24x = 11,707.84 × 6,811.96 - Step 4: Simplify right side
7,774.24x = 79,753,337.77 - Step 5: Solve for x
x = 79,753,337.77/7,774.24 - Step 6: Final answer
x = 10,258.67
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.