Finding the Fourth Proportional to 2,823.44, 4,238.52 and 1,670
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Solution
The fourth proportional to 2,823.44, 4,238.52 and 1,670 is: 2,506.99
Step by Step Solution
- Step 1: Write the proportion equation
2,823.44 : 4,238.52 = 1,670 : x - Step 2: Convert to fraction form
2,823.44/4,238.52 = 1,670/x - Step 3: Cross multiply
2,823.44x = 4,238.52 × 1,670 - Step 4: Simplify right side
2,823.44x = 7,078,328.40 - Step 5: Solve for x
x = 7,078,328.40/2,823.44 - Step 6: Final answer
x = 2,506.99
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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.