Finding the Fourth Proportional to 2,342.22, 3,513.08 and 782.05
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Solution
The fourth proportional to 2,342.22, 3,513.08 and 782.05 is: 1,172.99
Step by Step Solution
- Step 1: Write the proportion equation
2,342.22 : 3,513.08 = 782.05 : x - Step 2: Convert to fraction form
2,342.22/3,513.08 = 782.05/x - Step 3: Cross multiply
2,342.22x = 3,513.08 × 782.05 - Step 4: Simplify right side
2,342.22x = 2,747,410.01 - Step 5: Solve for x
x = 2,747,410.01/2,342.22 - Step 6: Final answer
x = 1,172.99
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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.